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Finding the Fourth Proportional to 5,713.68, 8,571.14 and 1,817.17

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Solution

The fourth proportional to 5,713.68, 8,571.14 and 1,817.17 is: 2,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.68 : 8,571.14 = 1,817.17 : x
  2. Step 2: Convert to fraction form
    5,713.68/8,571.14 = 1,817.17/x
  3. Step 3: Cross multiply
    5,713.68x = 8,571.14 × 1,817.17
  4. Step 4: Simplify right side
    5,713.68x = 15,575,218.47
  5. Step 5: Solve for x
    x = 15,575,218.47/5,713.68
  6. Step 6: Final answer
    x = 2,725.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.