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Finding the Fourth Proportional to 3,231.68, 4,845.24 and 1,587.18

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Solution

The fourth proportional to 3,231.68, 4,845.24 and 1,587.18 is: 2,379.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.68 : 4,845.24 = 1,587.18 : x
  2. Step 2: Convert to fraction form
    3,231.68/4,845.24 = 1,587.18/x
  3. Step 3: Cross multiply
    3,231.68x = 4,845.24 × 1,587.18
  4. Step 4: Simplify right side
    3,231.68x = 7,690,268.02
  5. Step 5: Solve for x
    x = 7,690,268.02/3,231.68
  6. Step 6: Final answer
    x = 2,379.65

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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.