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Finding the Fourth Proportional to 5,779.36, 7,923.47 and 5,674.26

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Solution

The fourth proportional to 5,779.36, 7,923.47 and 5,674.26 is: 7,779.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,779.36 : 7,923.47 = 5,674.26 : x
  2. Step 2: Convert to fraction form
    5,779.36/7,923.47 = 5,674.26/x
  3. Step 3: Cross multiply
    5,779.36x = 7,923.47 × 5,674.26
  4. Step 4: Simplify right side
    5,779.36x = 44,959,828.88
  5. Step 5: Solve for x
    x = 44,959,828.88/5,779.36
  6. Step 6: Final answer
    x = 7,779.38

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.