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Finding the Fourth Proportional to 5,242.62, 7,234.66 and 2,884.76

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Solution

The fourth proportional to 5,242.62, 7,234.66 and 2,884.76 is: 3,980.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.62 : 7,234.66 = 2,884.76 : x
  2. Step 2: Convert to fraction form
    5,242.62/7,234.66 = 2,884.76/x
  3. Step 3: Cross multiply
    5,242.62x = 7,234.66 × 2,884.76
  4. Step 4: Simplify right side
    5,242.62x = 20,870,257.78
  5. Step 5: Solve for x
    x = 20,870,257.78/5,242.62
  6. Step 6: Final answer
    x = 3,980.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.