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Finding the Fourth Proportional to 5,947.70, 8,207.64 and 3,294.95

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Solution

The fourth proportional to 5,947.70, 8,207.64 and 3,294.95 is: 4,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.70 : 8,207.64 = 3,294.95 : x
  2. Step 2: Convert to fraction form
    5,947.70/8,207.64 = 3,294.95/x
  3. Step 3: Cross multiply
    5,947.70x = 8,207.64 × 3,294.95
  4. Step 4: Simplify right side
    5,947.70x = 27,043,722.38
  5. Step 5: Solve for x
    x = 27,043,722.38/5,947.70
  6. Step 6: Final answer
    x = 4,546.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.