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Finding the Fourth Proportional to 5,947.32, 8,207.12 and 3,429.44

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Solution

The fourth proportional to 5,947.32, 8,207.12 and 3,429.44 is: 4,732.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.32 : 8,207.12 = 3,429.44 : x
  2. Step 2: Convert to fraction form
    5,947.32/8,207.12 = 3,429.44/x
  3. Step 3: Cross multiply
    5,947.32x = 8,207.12 × 3,429.44
  4. Step 4: Simplify right side
    5,947.32x = 28,145,825.61
  5. Step 5: Solve for x
    x = 28,145,825.61/5,947.32
  6. Step 6: Final answer
    x = 4,732.52

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1.5x scale

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.