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Finding the Fourth Proportional to 5,242.30, 7,234.20 and 2,884.42

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Solution

The fourth proportional to 5,242.30, 7,234.20 and 2,884.42 is: 3,980.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,242.30 : 7,234.20 = 2,884.42 : x
  2. Step 2: Convert to fraction form
    5,242.30/7,234.20 = 2,884.42/x
  3. Step 3: Cross multiply
    5,242.30x = 7,234.20 × 2,884.42
  4. Step 4: Simplify right side
    5,242.30x = 20,866,471.16
  5. Step 5: Solve for x
    x = 20,866,471.16/5,242.30
  6. Step 6: Final answer
    x = 3,980.40

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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.