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Finding the Fourth Proportional to 3,896.76, 5,377.59 and 2,218.19

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Solution

The fourth proportional to 3,896.76, 5,377.59 and 2,218.19 is: 3,061.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.76 : 5,377.59 = 2,218.19 : x
  2. Step 2: Convert to fraction form
    3,896.76/5,377.59 = 2,218.19/x
  3. Step 3: Cross multiply
    3,896.76x = 5,377.59 × 2,218.19
  4. Step 4: Simplify right side
    3,896.76x = 11,928,489.47
  5. Step 5: Solve for x
    x = 11,928,489.47/3,896.76
  6. Step 6: Final answer
    x = 3,061.13

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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.