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Finding the Fourth Proportional to 4,569.62, 6,834.62 and 2,691.03

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Solution

The fourth proportional to 4,569.62, 6,834.62 and 2,691.03 is: 4,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.62 : 6,834.62 = 2,691.03 : x
  2. Step 2: Convert to fraction form
    4,569.62/6,834.62 = 2,691.03/x
  3. Step 3: Cross multiply
    4,569.62x = 6,834.62 × 2,691.03
  4. Step 4: Simplify right side
    4,569.62x = 18,392,154.00
  5. Step 5: Solve for x
    x = 18,392,154.00/4,569.62
  6. Step 6: Final answer
    x = 4,024.88

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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.