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Finding the Fourth Proportional to 5,608.71, 7,740 and 3,252.20

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Solution

The fourth proportional to 5,608.71, 7,740 and 3,252.20 is: 4,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.71 : 7,740 = 3,252.20 : x
  2. Step 2: Convert to fraction form
    5,608.71/7,740 = 3,252.20/x
  3. Step 3: Cross multiply
    5,608.71x = 7,740 × 3,252.20
  4. Step 4: Simplify right side
    5,608.71x = 25,171,989.30
  5. Step 5: Solve for x
    x = 25,171,989.30/5,608.71
  6. Step 6: Final answer
    x = 4,488.02

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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.