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Finding the Fourth Proportional to 4,251.71, 5,868.06 and 3,542.43

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Solution

The fourth proportional to 4,251.71, 5,868.06 and 3,542.43 is: 4,889.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,251.71 : 5,868.06 = 3,542.43 : x
  2. Step 2: Convert to fraction form
    4,251.71/5,868.06 = 3,542.43/x
  3. Step 3: Cross multiply
    4,251.71x = 5,868.06 × 3,542.43
  4. Step 4: Simplify right side
    4,251.71x = 20,787,191.79
  5. Step 5: Solve for x
    x = 20,787,191.79/4,251.71
  6. Step 6: Final answer
    x = 4,889.14

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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.