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Finding the Fourth Proportional to 3,789.84, 5,230.61 and 2,217.63

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Solution

The fourth proportional to 3,789.84, 5,230.61 and 2,217.63 is: 3,060.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,789.84 : 5,230.61 = 2,217.63 : x
  2. Step 2: Convert to fraction form
    3,789.84/5,230.61 = 2,217.63/x
  3. Step 3: Cross multiply
    3,789.84x = 5,230.61 × 2,217.63
  4. Step 4: Simplify right side
    3,789.84x = 11,599,546.57
  5. Step 5: Solve for x
    x = 11,599,546.57/3,789.84
  6. Step 6: Final answer
    x = 3,060.70

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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.