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Finding the Fourth Proportional to 5,222.89, 7,834.49 and 1,524.74

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Solution

The fourth proportional to 5,222.89, 7,834.49 and 1,524.74 is: 2,287.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.89 : 7,834.49 = 1,524.74 : x
  2. Step 2: Convert to fraction form
    5,222.89/7,834.49 = 1,524.74/x
  3. Step 3: Cross multiply
    5,222.89x = 7,834.49 × 1,524.74
  4. Step 4: Simplify right side
    5,222.89x = 11,945,519.20
  5. Step 5: Solve for x
    x = 11,945,519.20/5,222.89
  6. Step 6: Final answer
    x = 2,287.15

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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.