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Finding the Fourth Proportional to 5,787.52, 7,988.28 and 3,397.82

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Solution

The fourth proportional to 5,787.52, 7,988.28 and 3,397.82 is: 4,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787.52 : 7,988.28 = 3,397.82 : x
  2. Step 2: Convert to fraction form
    5,787.52/7,988.28 = 3,397.82/x
  3. Step 3: Cross multiply
    5,787.52x = 7,988.28 × 3,397.82
  4. Step 4: Simplify right side
    5,787.52x = 27,142,697.61
  5. Step 5: Solve for x
    x = 27,142,697.61/5,787.52
  6. Step 6: Final answer
    x = 4,689.87

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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.