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Finding the Fourth Proportional to 5,692.28, 8,531.71 and 2,568.63

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Solution

The fourth proportional to 5,692.28, 8,531.71 and 2,568.63 is: 3,849.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,692.28 : 8,531.71 = 2,568.63 : x
  2. Step 2: Convert to fraction form
    5,692.28/8,531.71 = 2,568.63/x
  3. Step 3: Cross multiply
    5,692.28x = 8,531.71 × 2,568.63
  4. Step 4: Simplify right side
    5,692.28x = 21,914,798.29
  5. Step 5: Solve for x
    x = 21,914,798.29/5,692.28
  6. Step 6: Final answer
    x = 3,849.92

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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.