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Finding the Fourth Proportional to 4,947.62, 6,827.40 and 2,958.21

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Solution

The fourth proportional to 4,947.62, 6,827.40 and 2,958.21 is: 4,082.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.62 : 6,827.40 = 2,958.21 : x
  2. Step 2: Convert to fraction form
    4,947.62/6,827.40 = 2,958.21/x
  3. Step 3: Cross multiply
    4,947.62x = 6,827.40 × 2,958.21
  4. Step 4: Simplify right side
    4,947.62x = 20,196,882.95
  5. Step 5: Solve for x
    x = 20,196,882.95/4,947.62
  6. Step 6: Final answer
    x = 4,082.14

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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.