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Finding the Fourth Proportional to 5,781.52, 7,978.45 and 3,128.92

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Solution

The fourth proportional to 5,781.52, 7,978.45 and 3,128.92 is: 4,317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.52 : 7,978.45 = 3,128.92 : x
  2. Step 2: Convert to fraction form
    5,781.52/7,978.45 = 3,128.92/x
  3. Step 3: Cross multiply
    5,781.52x = 7,978.45 × 3,128.92
  4. Step 4: Simplify right side
    5,781.52x = 24,963,931.77
  5. Step 5: Solve for x
    x = 24,963,931.77/5,781.52
  6. Step 6: Final answer
    x = 4,317.88

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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.