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Finding the Fourth Proportional to 3,896.64, 5,377.16 and 2,217.84

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Solution

The fourth proportional to 3,896.64, 5,377.16 and 2,217.84 is: 3,060.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.64 : 5,377.16 = 2,217.84 : x
  2. Step 2: Convert to fraction form
    3,896.64/5,377.16 = 2,217.84/x
  3. Step 3: Cross multiply
    3,896.64x = 5,377.16 × 2,217.84
  4. Step 4: Simplify right side
    3,896.64x = 11,925,680.53
  5. Step 5: Solve for x
    x = 11,925,680.53/3,896.64
  6. Step 6: Final answer
    x = 3,060.50

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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.