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Finding the Fourth Proportional to 3,683.76, 5,082.16 and 2,191.36

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Solution

The fourth proportional to 3,683.76, 5,082.16 and 2,191.36 is: 3,023.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,683.76 : 5,082.16 = 2,191.36 : x
  2. Step 2: Convert to fraction form
    3,683.76/5,082.16 = 2,191.36/x
  3. Step 3: Cross multiply
    3,683.76x = 5,082.16 × 2,191.36
  4. Step 4: Simplify right side
    3,683.76x = 11,136,842.14
  5. Step 5: Solve for x
    x = 11,136,842.14/3,683.76
  6. Step 6: Final answer
    x = 3,023.23

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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.