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Finding the Fourth Proportional to 3,761.92, 5,643.04 and 1,453.76

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Solution

The fourth proportional to 3,761.92, 5,643.04 and 1,453.76 is: 2,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.92 : 5,643.04 = 1,453.76 : x
  2. Step 2: Convert to fraction form
    3,761.92/5,643.04 = 1,453.76/x
  3. Step 3: Cross multiply
    3,761.92x = 5,643.04 × 1,453.76
  4. Step 4: Simplify right side
    3,761.92x = 8,203,625.83
  5. Step 5: Solve for x
    x = 8,203,625.83/3,761.92
  6. Step 6: Final answer
    x = 2,180.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.