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Finding the Fourth Proportional to 4,082.98, 6,125.16 and 1,414.45

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Solution

The fourth proportional to 4,082.98, 6,125.16 and 1,414.45 is: 2,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.98 : 6,125.16 = 1,414.45 : x
  2. Step 2: Convert to fraction form
    4,082.98/6,125.16 = 1,414.45/x
  3. Step 3: Cross multiply
    4,082.98x = 6,125.16 × 1,414.45
  4. Step 4: Simplify right side
    4,082.98x = 8,663,732.56
  5. Step 5: Solve for x
    x = 8,663,732.56/4,082.98
  6. Step 6: Final answer
    x = 2,121.91

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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.