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Finding the Fourth Proportional to 3,249.65, 4,866.17 and 2,592.49

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Solution

The fourth proportional to 3,249.65, 4,866.17 and 2,592.49 is: 3,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,249.65 : 4,866.17 = 2,592.49 : x
  2. Step 2: Convert to fraction form
    3,249.65/4,866.17 = 2,592.49/x
  3. Step 3: Cross multiply
    3,249.65x = 4,866.17 × 2,592.49
  4. Step 4: Simplify right side
    3,249.65x = 12,615,483.55
  5. Step 5: Solve for x
    x = 12,615,483.55/3,249.65
  6. Step 6: Final answer
    x = 3,882.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.