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Finding the Fourth Proportional to 3,652.52, 5,040.18 and 2,081

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Solution

The fourth proportional to 3,652.52, 5,040.18 and 2,081 is: 2,871.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,652.52 : 5,040.18 = 2,081 : x
  2. Step 2: Convert to fraction form
    3,652.52/5,040.18 = 2,081/x
  3. Step 3: Cross multiply
    3,652.52x = 5,040.18 × 2,081
  4. Step 4: Simplify right side
    3,652.52x = 10,488,614.58
  5. Step 5: Solve for x
    x = 10,488,614.58/3,652.52
  6. Step 6: Final answer
    x = 2,871.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.