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Finding the Fourth Proportional to 3,722.73, 5,585.21 and 1,125.66

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Solution

The fourth proportional to 3,722.73, 5,585.21 and 1,125.66 is: 1,688.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.73 : 5,585.21 = 1,125.66 : x
  2. Step 2: Convert to fraction form
    3,722.73/5,585.21 = 1,125.66/x
  3. Step 3: Cross multiply
    3,722.73x = 5,585.21 × 1,125.66
  4. Step 4: Simplify right side
    3,722.73x = 6,287,041.86
  5. Step 5: Solve for x
    x = 6,287,041.86/3,722.73
  6. Step 6: Final answer
    x = 1,688.83

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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.