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Finding the Fourth Proportional to 4,189.70, 5,780.82 and 2,698.12

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Solution

The fourth proportional to 4,189.70, 5,780.82 and 2,698.12 is: 3,722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189.70 : 5,780.82 = 2,698.12 : x
  2. Step 2: Convert to fraction form
    4,189.70/5,780.82 = 2,698.12/x
  3. Step 3: Cross multiply
    4,189.70x = 5,780.82 × 2,698.12
  4. Step 4: Simplify right side
    4,189.70x = 15,597,346.06
  5. Step 5: Solve for x
    x = 15,597,346.06/4,189.70
  6. Step 6: Final answer
    x = 3,722.78

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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.