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Finding the Fourth Proportional to 5,691.60, 8,522.04 and 2,949.84

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Solution

The fourth proportional to 5,691.60, 8,522.04 and 2,949.84 is: 4,416.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.60 : 8,522.04 = 2,949.84 : x
  2. Step 2: Convert to fraction form
    5,691.60/8,522.04 = 2,949.84/x
  3. Step 3: Cross multiply
    5,691.60x = 8,522.04 × 2,949.84
  4. Step 4: Simplify right side
    5,691.60x = 25,138,654.47
  5. Step 5: Solve for x
    x = 25,138,654.47/5,691.60
  6. Step 6: Final answer
    x = 4,416.80

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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.