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Finding the Fourth Proportional to 4,138.32, 6,203.16 and 2,082

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Solution

The fourth proportional to 4,138.32, 6,203.16 and 2,082 is: 3,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.32 : 6,203.16 = 2,082 : x
  2. Step 2: Convert to fraction form
    4,138.32/6,203.16 = 2,082/x
  3. Step 3: Cross multiply
    4,138.32x = 6,203.16 × 2,082
  4. Step 4: Simplify right side
    4,138.32x = 12,914,979.12
  5. Step 5: Solve for x
    x = 12,914,979.12/4,138.32
  6. Step 6: Final answer
    x = 3,120.83

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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.