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Finding the Fourth Proportional to 3,700.52, 5,552.22 and 3,398.12

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Solution

The fourth proportional to 3,700.52, 5,552.22 and 3,398.12 is: 5,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,700.52 : 5,552.22 = 3,398.12 : x
  2. Step 2: Convert to fraction form
    3,700.52/5,552.22 = 3,398.12/x
  3. Step 3: Cross multiply
    3,700.52x = 5,552.22 × 3,398.12
  4. Step 4: Simplify right side
    3,700.52x = 18,867,109.83
  5. Step 5: Solve for x
    x = 18,867,109.83/3,700.52
  6. Step 6: Final answer
    x = 5,098.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.