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Finding the Fourth Proportional to 5,138.30, 7,711.05 and 3,293.90

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Solution

The fourth proportional to 5,138.30, 7,711.05 and 3,293.90 is: 4,943.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,138.30 : 7,711.05 = 3,293.90 : x
  2. Step 2: Convert to fraction form
    5,138.30/7,711.05 = 3,293.90/x
  3. Step 3: Cross multiply
    5,138.30x = 7,711.05 × 3,293.90
  4. Step 4: Simplify right side
    5,138.30x = 25,399,427.60
  5. Step 5: Solve for x
    x = 25,399,427.60/5,138.30
  6. Step 6: Final answer
    x = 4,943.16

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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.