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Finding the Fourth Proportional to 5,947.87, 8,207.74 and 3,258.59

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Solution

The fourth proportional to 5,947.87, 8,207.74 and 3,258.59 is: 4,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.87 : 8,207.74 = 3,258.59 : x
  2. Step 2: Convert to fraction form
    5,947.87/8,207.74 = 3,258.59/x
  3. Step 3: Cross multiply
    5,947.87x = 8,207.74 × 3,258.59
  4. Step 4: Simplify right side
    5,947.87x = 26,745,671.07
  5. Step 5: Solve for x
    x = 26,745,671.07/5,947.87
  6. Step 6: Final answer
    x = 4,496.68

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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.