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Finding the Fourth Proportional to 5,781.75, 7,978.80 and 3,129.16

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Solution

The fourth proportional to 5,781.75, 7,978.80 and 3,129.16 is: 4,318.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.75 : 7,978.80 = 3,129.16 : x
  2. Step 2: Convert to fraction form
    5,781.75/7,978.80 = 3,129.16/x
  3. Step 3: Cross multiply
    5,781.75x = 7,978.80 × 3,129.16
  4. Step 4: Simplify right side
    5,781.75x = 24,966,921.86
  5. Step 5: Solve for x
    x = 24,966,921.86/5,781.75
  6. Step 6: Final answer
    x = 4,318.23

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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.