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Finding the Fourth Proportional to 3,896.60, 5,377.34 and 2,218.13

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Solution

The fourth proportional to 3,896.60, 5,377.34 and 2,218.13 is: 3,061.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.60 : 5,377.34 = 2,218.13 : x
  2. Step 2: Convert to fraction form
    3,896.60/5,377.34 = 2,218.13/x
  3. Step 3: Cross multiply
    3,896.60x = 5,377.34 × 2,218.13
  4. Step 4: Simplify right side
    3,896.60x = 11,927,639.17
  5. Step 5: Solve for x
    x = 11,927,639.17/3,896.60
  6. Step 6: Final answer
    x = 3,061.04

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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.