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Finding the Fourth Proportional to 5,222.91, 7,835.12 and 1,524.66

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Solution

The fourth proportional to 5,222.91, 7,835.12 and 1,524.66 is: 2,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.91 : 7,835.12 = 1,524.66 : x
  2. Step 2: Convert to fraction form
    5,222.91/7,835.12 = 1,524.66/x
  3. Step 3: Cross multiply
    5,222.91x = 7,835.12 × 1,524.66
  4. Step 4: Simplify right side
    5,222.91x = 11,945,886.44
  5. Step 5: Solve for x
    x = 11,945,886.44/5,222.91
  6. Step 6: Final answer
    x = 2,287.21

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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.