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Finding the Fourth Proportional to 5,572.71, 7,692.72 and 3,685.14

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Solution

The fourth proportional to 5,572.71, 7,692.72 and 3,685.14 is: 5,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,572.71 : 7,692.72 = 3,685.14 : x
  2. Step 2: Convert to fraction form
    5,572.71/7,692.72 = 3,685.14/x
  3. Step 3: Cross multiply
    5,572.71x = 7,692.72 × 3,685.14
  4. Step 4: Simplify right side
    5,572.71x = 28,348,750.18
  5. Step 5: Solve for x
    x = 28,348,750.18/5,572.71
  6. Step 6: Final answer
    x = 5,087.07

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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.