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Finding the Fourth Proportional to 5,712.17, 8,568.22 and 2,154.95

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Solution

The fourth proportional to 5,712.17, 8,568.22 and 2,154.95 is: 3,232.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,712.17 : 8,568.22 = 2,154.95 : x
  2. Step 2: Convert to fraction form
    5,712.17/8,568.22 = 2,154.95/x
  3. Step 3: Cross multiply
    5,712.17x = 8,568.22 × 2,154.95
  4. Step 4: Simplify right side
    5,712.17x = 18,464,085.69
  5. Step 5: Solve for x
    x = 18,464,085.69/5,712.17
  6. Step 6: Final answer
    x = 3,232.41

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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.