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Finding the Fourth Proportional to 3,753.83, 5,632.38 and 1,446.95

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Solution

The fourth proportional to 3,753.83, 5,632.38 and 1,446.95 is: 2,171.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.83 : 5,632.38 = 1,446.95 : x
  2. Step 2: Convert to fraction form
    3,753.83/5,632.38 = 1,446.95/x
  3. Step 3: Cross multiply
    3,753.83x = 5,632.38 × 1,446.95
  4. Step 4: Simplify right side
    3,753.83x = 8,149,772.24
  5. Step 5: Solve for x
    x = 8,149,772.24/3,753.83
  6. Step 6: Final answer
    x = 2,171.06

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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.