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Finding the Fourth Proportional to 5,797.12, 8,691.36 and 3,488.08

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Solution

The fourth proportional to 5,797.12, 8,691.36 and 3,488.08 is: 5,229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.12 : 8,691.36 = 3,488.08 : x
  2. Step 2: Convert to fraction form
    5,797.12/8,691.36 = 3,488.08/x
  3. Step 3: Cross multiply
    5,797.12x = 8,691.36 × 3,488.08
  4. Step 4: Simplify right side
    5,797.12x = 30,316,158.99
  5. Step 5: Solve for x
    x = 30,316,158.99/5,797.12
  6. Step 6: Final answer
    x = 5,229.52

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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.