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Finding the Fourth Proportional to 3,683.62, 5,082.52 and 2,089.92

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Solution

The fourth proportional to 3,683.62, 5,082.52 and 2,089.92 is: 2,883.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.62 : 5,082.52 = 2,089.92 : x
  2. Step 2: Convert to fraction form
    3,683.62/5,082.52 = 2,089.92/x
  3. Step 3: Cross multiply
    3,683.62x = 5,082.52 × 2,089.92
  4. Step 4: Simplify right side
    3,683.62x = 10,622,060.20
  5. Step 5: Solve for x
    x = 10,622,060.20/3,683.62
  6. Step 6: Final answer
    x = 2,883.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.