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Finding the Fourth Proportional to 5,242.10, 7,234.17 and 2,884.34

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Solution

The fourth proportional to 5,242.10, 7,234.17 and 2,884.34 is: 3,980.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.10 : 7,234.17 = 2,884.34 : x
  2. Step 2: Convert to fraction form
    5,242.10/7,234.17 = 2,884.34/x
  3. Step 3: Cross multiply
    5,242.10x = 7,234.17 × 2,884.34
  4. Step 4: Simplify right side
    5,242.10x = 20,865,805.90
  5. Step 5: Solve for x
    x = 20,865,805.90/5,242.10
  6. Step 6: Final answer
    x = 3,980.43

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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.