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Finding the Fourth Proportional to 3,871.32, 5,340.47 and 2,452.65

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Solution

The fourth proportional to 3,871.32, 5,340.47 and 2,452.65 is: 3,383.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.32 : 5,340.47 = 2,452.65 : x
  2. Step 2: Convert to fraction form
    3,871.32/5,340.47 = 2,452.65/x
  3. Step 3: Cross multiply
    3,871.32x = 5,340.47 × 2,452.65
  4. Step 4: Simplify right side
    3,871.32x = 13,098,291.48
  5. Step 5: Solve for x
    x = 13,098,291.48/3,871.32
  6. Step 6: Final answer
    x = 3,383.42

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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.