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Finding the Fourth Proportional to 3,753.53, 5,630.29 and 1,414.05

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Solution

The fourth proportional to 3,753.53, 5,630.29 and 1,414.05 is: 2,121.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.53 : 5,630.29 = 1,414.05 : x
  2. Step 2: Convert to fraction form
    3,753.53/5,630.29 = 1,414.05/x
  3. Step 3: Cross multiply
    3,753.53x = 5,630.29 × 1,414.05
  4. Step 4: Simplify right side
    3,753.53x = 7,961,511.57
  5. Step 5: Solve for x
    x = 7,961,511.57/3,753.53
  6. Step 6: Final answer
    x = 2,121.07

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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.