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Finding the Fourth Proportional to 5,691.27, 8,534.61 and 2,571.15

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Solution

The fourth proportional to 5,691.27, 8,534.61 and 2,571.15 is: 3,855.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.27 : 8,534.61 = 2,571.15 : x
  2. Step 2: Convert to fraction form
    5,691.27/8,534.61 = 2,571.15/x
  3. Step 3: Cross multiply
    5,691.27x = 8,534.61 × 2,571.15
  4. Step 4: Simplify right side
    5,691.27x = 21,943,762.50
  5. Step 5: Solve for x
    x = 21,943,762.50/5,691.27
  6. Step 6: Final answer
    x = 3,855.69

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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.