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Finding the Fourth Proportional to 3,531.04, 4,872.50 and 2,114.44

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Solution

The fourth proportional to 3,531.04, 4,872.50 and 2,114.44 is: 2,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.04 : 4,872.50 = 2,114.44 : x
  2. Step 2: Convert to fraction form
    3,531.04/4,872.50 = 2,114.44/x
  3. Step 3: Cross multiply
    3,531.04x = 4,872.50 × 2,114.44
  4. Step 4: Simplify right side
    3,531.04x = 10,302,608.90
  5. Step 5: Solve for x
    x = 10,302,608.90/3,531.04
  6. Step 6: Final answer
    x = 2,917.73

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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.