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Finding the Fourth Proportional to 3,753.96, 5,632.10 and 1,414.17

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Solution

The fourth proportional to 3,753.96, 5,632.10 and 1,414.17 is: 2,121.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.96 : 5,632.10 = 1,414.17 : x
  2. Step 2: Convert to fraction form
    3,753.96/5,632.10 = 1,414.17/x
  3. Step 3: Cross multiply
    3,753.96x = 5,632.10 × 1,414.17
  4. Step 4: Simplify right side
    3,753.96x = 7,964,746.86
  5. Step 5: Solve for x
    x = 7,964,746.86/3,753.96
  6. Step 6: Final answer
    x = 2,121.69

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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.