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Finding the Fourth Proportional to 5,242.38, 7,234.48 and 2,884.47

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Solution

The fourth proportional to 5,242.38, 7,234.48 and 2,884.47 is: 3,980.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.38 : 7,234.48 = 2,884.47 : x
  2. Step 2: Convert to fraction form
    5,242.38/7,234.48 = 2,884.47/x
  3. Step 3: Cross multiply
    5,242.38x = 7,234.48 × 2,884.47
  4. Step 4: Simplify right side
    5,242.38x = 20,867,640.53
  5. Step 5: Solve for x
    x = 20,867,640.53/5,242.38
  6. Step 6: Final answer
    x = 3,980.57

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Why These Related Problems?

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