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Finding the Fourth Proportional to 5,082.44, 7,612.70 and 3,431.66

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Solution

The fourth proportional to 5,082.44, 7,612.70 and 3,431.66 is: 5,140.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,082.44 : 7,612.70 = 3,431.66 : x
  2. Step 2: Convert to fraction form
    5,082.44/7,612.70 = 3,431.66/x
  3. Step 3: Cross multiply
    5,082.44x = 7,612.70 × 3,431.66
  4. Step 4: Simplify right side
    5,082.44x = 26,124,198.08
  5. Step 5: Solve for x
    x = 26,124,198.08/5,082.44
  6. Step 6: Final answer
    x = 5,140.09

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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.