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Finding the Fourth Proportional to 3,631.60, 5,449.24 and 1,552.96

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Solution

The fourth proportional to 3,631.60, 5,449.24 and 1,552.96 is: 2,330.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.60 : 5,449.24 = 1,552.96 : x
  2. Step 2: Convert to fraction form
    3,631.60/5,449.24 = 1,552.96/x
  3. Step 3: Cross multiply
    3,631.60x = 5,449.24 × 1,552.96
  4. Step 4: Simplify right side
    3,631.60x = 8,462,451.75
  5. Step 5: Solve for x
    x = 8,462,451.75/3,631.60
  6. Step 6: Final answer
    x = 2,330.23

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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.