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Finding the Fourth Proportional to 3,534.75, 4,878.50 and 2,138.31

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Solution

The fourth proportional to 3,534.75, 4,878.50 and 2,138.31 is: 2,951.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.75 : 4,878.50 = 2,138.31 : x
  2. Step 2: Convert to fraction form
    3,534.75/4,878.50 = 2,138.31/x
  3. Step 3: Cross multiply
    3,534.75x = 4,878.50 × 2,138.31
  4. Step 4: Simplify right side
    3,534.75x = 10,431,734.64
  5. Step 5: Solve for x
    x = 10,431,734.64/3,534.75
  6. Step 6: Final answer
    x = 2,951.19

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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.