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Finding the Fourth Proportional to 6,536.80, 9,787.92 and 3,452.32

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Solution

The fourth proportional to 6,536.80, 9,787.92 and 3,452.32 is: 5,169.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,536.80 : 9,787.92 = 3,452.32 : x
  2. Step 2: Convert to fraction form
    6,536.80/9,787.92 = 3,452.32/x
  3. Step 3: Cross multiply
    6,536.80x = 9,787.92 × 3,452.32
  4. Step 4: Simplify right side
    6,536.80x = 33,791,031.97
  5. Step 5: Solve for x
    x = 33,791,031.97/6,536.80
  6. Step 6: Final answer
    x = 5,169.35

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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.