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Finding the Fourth Proportional to 3,761.52, 5,641.19 and 1,128.92

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Solution

The fourth proportional to 3,761.52, 5,641.19 and 1,128.92 is: 1,693.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.52 : 5,641.19 = 1,128.92 : x
  2. Step 2: Convert to fraction form
    3,761.52/5,641.19 = 1,128.92/x
  3. Step 3: Cross multiply
    3,761.52x = 5,641.19 × 1,128.92
  4. Step 4: Simplify right side
    3,761.52x = 6,368,460.68
  5. Step 5: Solve for x
    x = 6,368,460.68/3,761.52
  6. Step 6: Final answer
    x = 1,693.05

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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.