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Finding the Fourth Proportional to 5,222.57, 7,819.07 and 4,729.91

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Solution

The fourth proportional to 5,222.57, 7,819.07 and 4,729.91 is: 7,081.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.57 : 7,819.07 = 4,729.91 : x
  2. Step 2: Convert to fraction form
    5,222.57/7,819.07 = 4,729.91/x
  3. Step 3: Cross multiply
    5,222.57x = 7,819.07 × 4,729.91
  4. Step 4: Simplify right side
    5,222.57x = 36,983,434.64
  5. Step 5: Solve for x
    x = 36,983,434.64/5,222.57
  6. Step 6: Final answer
    x = 7,081.47

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