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Finding the Fourth Proportional to 3,531.75, 4,874.22 and 2,134.50

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Solution

The fourth proportional to 3,531.75, 4,874.22 and 2,134.50 is: 2,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.75 : 4,874.22 = 2,134.50 : x
  2. Step 2: Convert to fraction form
    3,531.75/4,874.22 = 2,134.50/x
  3. Step 3: Cross multiply
    3,531.75x = 4,874.22 × 2,134.50
  4. Step 4: Simplify right side
    3,531.75x = 10,404,022.59
  5. Step 5: Solve for x
    x = 10,404,022.59/3,531.75
  6. Step 6: Final answer
    x = 2,945.85

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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.