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Finding the Fourth Proportional to 5,710.98, 8,569.20 and 2,593.20

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Solution

The fourth proportional to 5,710.98, 8,569.20 and 2,593.20 is: 3,891.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,710.98 : 8,569.20 = 2,593.20 : x
  2. Step 2: Convert to fraction form
    5,710.98/8,569.20 = 2,593.20/x
  3. Step 3: Cross multiply
    5,710.98x = 8,569.20 × 2,593.20
  4. Step 4: Simplify right side
    5,710.98x = 22,221,649.44
  5. Step 5: Solve for x
    x = 22,221,649.44/5,710.98
  6. Step 6: Final answer
    x = 3,891.04

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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.