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Finding the Fourth Proportional to 4,947.48, 6,827.49 and 2,958.12

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Solution

The fourth proportional to 4,947.48, 6,827.49 and 2,958.12 is: 4,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,947.48 : 6,827.49 = 2,958.12 : x
  2. Step 2: Convert to fraction form
    4,947.48/6,827.49 = 2,958.12/x
  3. Step 3: Cross multiply
    4,947.48x = 6,827.49 × 2,958.12
  4. Step 4: Simplify right side
    4,947.48x = 20,196,534.72
  5. Step 5: Solve for x
    x = 20,196,534.72/4,947.48
  6. Step 6: Final answer
    x = 4,082.19

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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.