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Finding the Fourth Proportional to 3,542.05, 4,882.35 and 2,407.39

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Solution

The fourth proportional to 3,542.05, 4,882.35 and 2,407.39 is: 3,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,542.05 : 4,882.35 = 2,407.39 : x
  2. Step 2: Convert to fraction form
    3,542.05/4,882.35 = 2,407.39/x
  3. Step 3: Cross multiply
    3,542.05x = 4,882.35 × 2,407.39
  4. Step 4: Simplify right side
    3,542.05x = 11,753,720.57
  5. Step 5: Solve for x
    x = 11,753,720.57/3,542.05
  6. Step 6: Final answer
    x = 3,318.34

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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.