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Finding the Fourth Proportional to 5,221.98, 7,834.28 and 1,524.23

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Solution

The fourth proportional to 5,221.98, 7,834.28 and 1,524.23 is: 2,286.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.98 : 7,834.28 = 1,524.23 : x
  2. Step 2: Convert to fraction form
    5,221.98/7,834.28 = 1,524.23/x
  3. Step 3: Cross multiply
    5,221.98x = 7,834.28 × 1,524.23
  4. Step 4: Simplify right side
    5,221.98x = 11,941,209.24
  5. Step 5: Solve for x
    x = 11,941,209.24/5,221.98
  6. Step 6: Final answer
    x = 2,286.72

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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.