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Finding the Fourth Proportional to 5,811.84, 8,020.17 and 3,159.27

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Solution

The fourth proportional to 5,811.84, 8,020.17 and 3,159.27 is: 4,359.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811.84 : 8,020.17 = 3,159.27 : x
  2. Step 2: Convert to fraction form
    5,811.84/8,020.17 = 3,159.27/x
  3. Step 3: Cross multiply
    5,811.84x = 8,020.17 × 3,159.27
  4. Step 4: Simplify right side
    5,811.84x = 25,337,882.48
  5. Step 5: Solve for x
    x = 25,337,882.48/5,811.84
  6. Step 6: Final answer
    x = 4,359.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.