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Finding the Fourth Proportional to 3,454.88, 5,182.13 and 1,114.85

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Solution

The fourth proportional to 3,454.88, 5,182.13 and 1,114.85 is: 1,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.88 : 5,182.13 = 1,114.85 : x
  2. Step 2: Convert to fraction form
    3,454.88/5,182.13 = 1,114.85/x
  3. Step 3: Cross multiply
    3,454.88x = 5,182.13 × 1,114.85
  4. Step 4: Simplify right side
    3,454.88x = 5,777,266.15
  5. Step 5: Solve for x
    x = 5,777,266.15/3,454.88
  6. Step 6: Final answer
    x = 1,672.21

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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.