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Finding the Fourth Proportional to 5,799.16, 8,691.04 and 3,159.90

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Solution

The fourth proportional to 5,799.16, 8,691.04 and 3,159.90 is: 4,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,799.16 : 8,691.04 = 3,159.90 : x
  2. Step 2: Convert to fraction form
    5,799.16/8,691.04 = 3,159.90/x
  3. Step 3: Cross multiply
    5,799.16x = 8,691.04 × 3,159.90
  4. Step 4: Simplify right side
    5,799.16x = 27,462,817.30
  5. Step 5: Solve for x
    x = 27,462,817.30/5,799.16
  6. Step 6: Final answer
    x = 4,735.65

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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.