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Finding the Fourth Proportional to 6,082.90, 9,122.42 and 3,159.61

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Solution

The fourth proportional to 6,082.90, 9,122.42 and 3,159.61 is: 4,738.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.90 : 9,122.42 = 3,159.61 : x
  2. Step 2: Convert to fraction form
    6,082.90/9,122.42 = 3,159.61/x
  3. Step 3: Cross multiply
    6,082.90x = 9,122.42 × 3,159.61
  4. Step 4: Simplify right side
    6,082.90x = 28,823,274.55
  5. Step 5: Solve for x
    x = 28,823,274.55/6,082.90
  6. Step 6: Final answer
    x = 4,738.41

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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.