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Finding the Fourth Proportional to 5,604.52, 8,402.52 and 2,680

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Solution

The fourth proportional to 5,604.52, 8,402.52 and 2,680 is: 4,017.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,604.52 : 8,402.52 = 2,680 : x
  2. Step 2: Convert to fraction form
    5,604.52/8,402.52 = 2,680/x
  3. Step 3: Cross multiply
    5,604.52x = 8,402.52 × 2,680
  4. Step 4: Simplify right side
    5,604.52x = 22,518,753.60
  5. Step 5: Solve for x
    x = 22,518,753.60/5,604.52
  6. Step 6: Final answer
    x = 4,017.96

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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.