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Finding the Fourth Proportional to 3,480.14, 5,215.89 and 1,749.26

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Solution

The fourth proportional to 3,480.14, 5,215.89 and 1,749.26 is: 2,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,480.14 : 5,215.89 = 1,749.26 : x
  2. Step 2: Convert to fraction form
    3,480.14/5,215.89 = 1,749.26/x
  3. Step 3: Cross multiply
    3,480.14x = 5,215.89 × 1,749.26
  4. Step 4: Simplify right side
    3,480.14x = 9,123,947.74
  5. Step 5: Solve for x
    x = 9,123,947.74/3,480.14
  6. Step 6: Final answer
    x = 2,621.72

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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.