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Finding the Fourth Proportional to 6,042, 8,338.17 and 3,523.71

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Solution

The fourth proportional to 6,042, 8,338.17 and 3,523.71 is: 4,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042 : 8,338.17 = 3,523.71 : x
  2. Step 2: Convert to fraction form
    6,042/8,338.17 = 3,523.71/x
  3. Step 3: Cross multiply
    6,042x = 8,338.17 × 3,523.71
  4. Step 4: Simplify right side
    6,042x = 29,381,293.01
  5. Step 5: Solve for x
    x = 29,381,293.01/6,042
  6. Step 6: Final answer
    x = 4,862.84

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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.