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Finding the Fourth Proportional to 3,753.50, 5,629.16 and 1,411.82

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Solution

The fourth proportional to 3,753.50, 5,629.16 and 1,411.82 is: 2,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.50 : 5,629.16 = 1,411.82 : x
  2. Step 2: Convert to fraction form
    3,753.50/5,629.16 = 1,411.82/x
  3. Step 3: Cross multiply
    3,753.50x = 5,629.16 × 1,411.82
  4. Step 4: Simplify right side
    3,753.50x = 7,947,367.68
  5. Step 5: Solve for x
    x = 7,947,367.68/3,753.50
  6. Step 6: Final answer
    x = 2,117.32

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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.