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Finding the Fourth Proportional to 3,911.53, 5,398.37 and 2,233.18

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Solution

The fourth proportional to 3,911.53, 5,398.37 and 2,233.18 is: 3,082.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.53 : 5,398.37 = 2,233.18 : x
  2. Step 2: Convert to fraction form
    3,911.53/5,398.37 = 2,233.18/x
  3. Step 3: Cross multiply
    3,911.53x = 5,398.37 × 2,233.18
  4. Step 4: Simplify right side
    3,911.53x = 12,055,507.25
  5. Step 5: Solve for x
    x = 12,055,507.25/3,911.53
  6. Step 6: Final answer
    x = 3,082.04

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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.