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Finding the Fourth Proportional to 5,242.46, 7,234.32 and 2,884.15

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Solution

The fourth proportional to 5,242.46, 7,234.32 and 2,884.15 is: 3,979.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.46 : 7,234.32 = 2,884.15 : x
  2. Step 2: Convert to fraction form
    5,242.46/7,234.32 = 2,884.15/x
  3. Step 3: Cross multiply
    5,242.46x = 7,234.32 × 2,884.15
  4. Step 4: Simplify right side
    5,242.46x = 20,864,827.86
  5. Step 5: Solve for x
    x = 20,864,827.86/5,242.46
  6. Step 6: Final answer
    x = 3,979.97

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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.