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Finding the Fourth Proportional to 3,486.80, 5,230.20 and 2,189.18

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Solution

The fourth proportional to 3,486.80, 5,230.20 and 2,189.18 is: 3,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.80 : 5,230.20 = 2,189.18 : x
  2. Step 2: Convert to fraction form
    3,486.80/5,230.20 = 2,189.18/x
  3. Step 3: Cross multiply
    3,486.80x = 5,230.20 × 2,189.18
  4. Step 4: Simplify right side
    3,486.80x = 11,449,842.70
  5. Step 5: Solve for x
    x = 11,449,842.70/3,486.80
  6. Step 6: Final answer
    x = 3,283.77

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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.