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Finding the Fourth Proportional to 5,641.68, 7,777.38 and 3,957.86

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Solution

The fourth proportional to 5,641.68, 7,777.38 and 3,957.86 is: 5,456.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.68 : 7,777.38 = 3,957.86 : x
  2. Step 2: Convert to fraction form
    5,641.68/7,777.38 = 3,957.86/x
  3. Step 3: Cross multiply
    5,641.68x = 7,777.38 × 3,957.86
  4. Step 4: Simplify right side
    5,641.68x = 30,781,781.21
  5. Step 5: Solve for x
    x = 30,781,781.21/5,641.68
  6. Step 6: Final answer
    x = 5,456.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.