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Finding the Fourth Proportional to 4,082.91, 6,132.47 and 3,497.69

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Solution

The fourth proportional to 4,082.91, 6,132.47 and 3,497.69 is: 5,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,082.91 : 6,132.47 = 3,497.69 : x
  2. Step 2: Convert to fraction form
    4,082.91/6,132.47 = 3,497.69/x
  3. Step 3: Cross multiply
    4,082.91x = 6,132.47 × 3,497.69
  4. Step 4: Simplify right side
    4,082.91x = 21,449,430.84
  5. Step 5: Solve for x
    x = 21,449,430.84/4,082.91
  6. Step 6: Final answer
    x = 5,253.47

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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.