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Finding the Fourth Proportional to 5,947.91, 8,209.13 and 3,429.57

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Solution

The fourth proportional to 5,947.91, 8,209.13 and 3,429.57 is: 4,733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.91 : 8,209.13 = 3,429.57 : x
  2. Step 2: Convert to fraction form
    5,947.91/8,209.13 = 3,429.57/x
  3. Step 3: Cross multiply
    5,947.91x = 8,209.13 × 3,429.57
  4. Step 4: Simplify right side
    5,947.91x = 28,153,785.97
  5. Step 5: Solve for x
    x = 28,153,785.97/5,947.91
  6. Step 6: Final answer
    x = 4,733.39

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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.