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Finding the Fourth Proportional to 3,138.75, 4,701.96 and 2,151.41

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Solution

The fourth proportional to 3,138.75, 4,701.96 and 2,151.41 is: 3,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.75 : 4,701.96 = 2,151.41 : x
  2. Step 2: Convert to fraction form
    3,138.75/4,701.96 = 2,151.41/x
  3. Step 3: Cross multiply
    3,138.75x = 4,701.96 × 2,151.41
  4. Step 4: Simplify right side
    3,138.75x = 10,115,820.25
  5. Step 5: Solve for x
    x = 10,115,820.25/3,138.75
  6. Step 6: Final answer
    x = 3,222.88

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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.