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Finding the Fourth Proportional to 3,951.16, 5,452.23 and 2,532.34

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Solution

The fourth proportional to 3,951.16, 5,452.23 and 2,532.34 is: 3,494.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.16 : 5,452.23 = 2,532.34 : x
  2. Step 2: Convert to fraction form
    3,951.16/5,452.23 = 2,532.34/x
  3. Step 3: Cross multiply
    3,951.16x = 5,452.23 × 2,532.34
  4. Step 4: Simplify right side
    3,951.16x = 13,806,900.12
  5. Step 5: Solve for x
    x = 13,806,900.12/3,951.16
  6. Step 6: Final answer
    x = 3,494.39

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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.