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Finding the Fourth Proportional to 5,242.29, 7,234.41 and 2,884.44

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Solution

The fourth proportional to 5,242.29, 7,234.41 and 2,884.44 is: 3,980.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.29 : 7,234.41 = 2,884.44 : x
  2. Step 2: Convert to fraction form
    5,242.29/7,234.41 = 2,884.44/x
  3. Step 3: Cross multiply
    5,242.29x = 7,234.41 × 2,884.44
  4. Step 4: Simplify right side
    5,242.29x = 20,867,221.58
  5. Step 5: Solve for x
    x = 20,867,221.58/5,242.29
  6. Step 6: Final answer
    x = 3,980.55

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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.