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Finding the Fourth Proportional to 5,217.96, 7,828.22 and 1,520.22

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Solution

The fourth proportional to 5,217.96, 7,828.22 and 1,520.22 is: 2,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.96 : 7,828.22 = 1,520.22 : x
  2. Step 2: Convert to fraction form
    5,217.96/7,828.22 = 1,520.22/x
  3. Step 3: Cross multiply
    5,217.96x = 7,828.22 × 1,520.22
  4. Step 4: Simplify right side
    5,217.96x = 11,900,616.61
  5. Step 5: Solve for x
    x = 11,900,616.61/5,217.96
  6. Step 6: Final answer
    x = 2,280.70

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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.