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Finding the Fourth Proportional to 3,658.88, 5,043.68 and 2,871.56

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Solution

The fourth proportional to 3,658.88, 5,043.68 and 2,871.56 is: 3,958.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.88 : 5,043.68 = 2,871.56 : x
  2. Step 2: Convert to fraction form
    3,658.88/5,043.68 = 2,871.56/x
  3. Step 3: Cross multiply
    3,658.88x = 5,043.68 × 2,871.56
  4. Step 4: Simplify right side
    3,658.88x = 14,483,229.74
  5. Step 5: Solve for x
    x = 14,483,229.74/3,658.88
  6. Step 6: Final answer
    x = 3,958.38

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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.