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Finding the Fourth Proportional to 3,761.60, 5,639.52 and 3,375.68

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Solution

The fourth proportional to 3,761.60, 5,639.52 and 3,375.68 is: 5,060.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.60 : 5,639.52 = 3,375.68 : x
  2. Step 2: Convert to fraction form
    3,761.60/5,639.52 = 3,375.68/x
  3. Step 3: Cross multiply
    3,761.60x = 5,639.52 × 3,375.68
  4. Step 4: Simplify right side
    3,761.60x = 19,037,214.87
  5. Step 5: Solve for x
    x = 19,037,214.87/3,761.60
  6. Step 6: Final answer
    x = 5,060.94

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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.