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Finding the Fourth Proportional to 3,490.20, 5,230.90 and 1,847.48

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Solution

The fourth proportional to 3,490.20, 5,230.90 and 1,847.48 is: 2,768.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,490.20 : 5,230.90 = 1,847.48 : x
  2. Step 2: Convert to fraction form
    3,490.20/5,230.90 = 1,847.48/x
  3. Step 3: Cross multiply
    3,490.20x = 5,230.90 × 1,847.48
  4. Step 4: Simplify right side
    3,490.20x = 9,663,983.13
  5. Step 5: Solve for x
    x = 9,663,983.13/3,490.20
  6. Step 6: Final answer
    x = 2,768.89

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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.