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Finding the Fourth Proportional to 3,581.88, 4,945.16 and 2,342.04

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Solution

The fourth proportional to 3,581.88, 4,945.16 and 2,342.04 is: 3,233.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.88 : 4,945.16 = 2,342.04 : x
  2. Step 2: Convert to fraction form
    3,581.88/4,945.16 = 2,342.04/x
  3. Step 3: Cross multiply
    3,581.88x = 4,945.16 × 2,342.04
  4. Step 4: Simplify right side
    3,581.88x = 11,581,762.53
  5. Step 5: Solve for x
    x = 11,581,762.53/3,581.88
  6. Step 6: Final answer
    x = 3,233.43

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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.