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Finding the Fourth Proportional to 5,704.92, 8,551.56 and 3,856.22

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Solution

The fourth proportional to 5,704.92, 8,551.56 and 3,856.22 is: 5,780.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.92 : 8,551.56 = 3,856.22 : x
  2. Step 2: Convert to fraction form
    5,704.92/8,551.56 = 3,856.22/x
  3. Step 3: Cross multiply
    5,704.92x = 8,551.56 × 3,856.22
  4. Step 4: Simplify right side
    5,704.92x = 32,976,696.70
  5. Step 5: Solve for x
    x = 32,976,696.70/5,704.92
  6. Step 6: Final answer
    x = 5,780.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.