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Finding the Fourth Proportional to 5,230.08, 7,847.16 and 2,306.34

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Solution

The fourth proportional to 5,230.08, 7,847.16 and 2,306.34 is: 3,460.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.08 : 7,847.16 = 2,306.34 : x
  2. Step 2: Convert to fraction form
    5,230.08/7,847.16 = 2,306.34/x
  3. Step 3: Cross multiply
    5,230.08x = 7,847.16 × 2,306.34
  4. Step 4: Simplify right side
    5,230.08x = 18,098,218.99
  5. Step 5: Solve for x
    x = 18,098,218.99/5,230.08
  6. Step 6: Final answer
    x = 3,460.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.