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Finding the Fourth Proportional to 3,082.98, 4,254.75 and 2,551.71

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Solution

The fourth proportional to 3,082.98, 4,254.75 and 2,551.71 is: 3,521.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,082.98 : 4,254.75 = 2,551.71 : x
  2. Step 2: Convert to fraction form
    3,082.98/4,254.75 = 2,551.71/x
  3. Step 3: Cross multiply
    3,082.98x = 4,254.75 × 2,551.71
  4. Step 4: Simplify right side
    3,082.98x = 10,856,888.12
  5. Step 5: Solve for x
    x = 10,856,888.12/3,082.98
  6. Step 6: Final answer
    x = 3,521.56

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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.