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Finding the Fourth Proportional to 6,082.71, 9,120.39 and 2,380.53

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Solution

The fourth proportional to 6,082.71, 9,120.39 and 2,380.53 is: 3,569.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.71 : 9,120.39 = 2,380.53 : x
  2. Step 2: Convert to fraction form
    6,082.71/9,120.39 = 2,380.53/x
  3. Step 3: Cross multiply
    6,082.71x = 9,120.39 × 2,380.53
  4. Step 4: Simplify right side
    6,082.71x = 21,711,362.01
  5. Step 5: Solve for x
    x = 21,711,362.01/6,082.71
  6. Step 6: Final answer
    x = 3,569.36

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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.