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Finding the Fourth Proportional to 5,243.64, 7,866.82 and 2,321.26

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Solution

The fourth proportional to 5,243.64, 7,866.82 and 2,321.26 is: 3,482.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.64 : 7,866.82 = 2,321.26 : x
  2. Step 2: Convert to fraction form
    5,243.64/7,866.82 = 2,321.26/x
  3. Step 3: Cross multiply
    5,243.64x = 7,866.82 × 2,321.26
  4. Step 4: Simplify right side
    5,243.64x = 18,260,917.83
  5. Step 5: Solve for x
    x = 18,260,917.83/5,243.64
  6. Step 6: Final answer
    x = 3,482.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.