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Finding the Fourth Proportional to 5,778.36, 7,922.10 and 5,673.26

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Solution

The fourth proportional to 5,778.36, 7,922.10 and 5,673.26 is: 7,778.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.36 : 7,922.10 = 5,673.26 : x
  2. Step 2: Convert to fraction form
    5,778.36/7,922.10 = 5,673.26/x
  3. Step 3: Cross multiply
    5,778.36x = 7,922.10 × 5,673.26
  4. Step 4: Simplify right side
    5,778.36x = 44,944,174.13
  5. Step 5: Solve for x
    x = 44,944,174.13/5,778.36
  6. Step 6: Final answer
    x = 7,778.02

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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.