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Finding the Fourth Proportional to 5,242.97, 7,234.97 and 2,884.65

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Solution

The fourth proportional to 5,242.97, 7,234.97 and 2,884.65 is: 3,980.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.97 : 7,234.97 = 2,884.65 : x
  2. Step 2: Convert to fraction form
    5,242.97/7,234.97 = 2,884.65/x
  3. Step 3: Cross multiply
    5,242.97x = 7,234.97 × 2,884.65
  4. Step 4: Simplify right side
    5,242.97x = 20,870,341.79
  5. Step 5: Solve for x
    x = 20,870,341.79/5,242.97
  6. Step 6: Final answer
    x = 3,980.64

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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.