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Finding the Fourth Proportional to 5,607.97, 7,740.38 and 3,251.49

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Solution

The fourth proportional to 5,607.97, 7,740.38 and 3,251.49 is: 4,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,607.97 : 7,740.38 = 3,251.49 : x
  2. Step 2: Convert to fraction form
    5,607.97/7,740.38 = 3,251.49/x
  3. Step 3: Cross multiply
    5,607.97x = 7,740.38 × 3,251.49
  4. Step 4: Simplify right side
    5,607.97x = 25,167,768.17
  5. Step 5: Solve for x
    x = 25,167,768.17/5,607.97
  6. Step 6: Final answer
    x = 4,487.86

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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.