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Finding the Fourth Proportional to 6,082.56, 9,124.78 and 2,572.57

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Solution

The fourth proportional to 6,082.56, 9,124.78 and 2,572.57 is: 3,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.56 : 9,124.78 = 2,572.57 : x
  2. Step 2: Convert to fraction form
    6,082.56/9,124.78 = 2,572.57/x
  3. Step 3: Cross multiply
    6,082.56x = 9,124.78 × 2,572.57
  4. Step 4: Simplify right side
    6,082.56x = 23,474,135.28
  5. Step 5: Solve for x
    x = 23,474,135.28/6,082.56
  6. Step 6: Final answer
    x = 3,859.25

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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.