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Finding the Fourth Proportional to 3,652.43, 5,481.47 and 1,462.59

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Solution

The fourth proportional to 3,652.43, 5,481.47 and 1,462.59 is: 2,195.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.43 : 5,481.47 = 1,462.59 : x
  2. Step 2: Convert to fraction form
    3,652.43/5,481.47 = 1,462.59/x
  3. Step 3: Cross multiply
    3,652.43x = 5,481.47 × 1,462.59
  4. Step 4: Simplify right side
    3,652.43x = 8,017,146.86
  5. Step 5: Solve for x
    x = 8,017,146.86/3,652.43
  6. Step 6: Final answer
    x = 2,195.02

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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.