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Finding the Fourth Proportional to 3,896.40, 5,376.80 and 2,127.64

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Solution

The fourth proportional to 3,896.40, 5,376.80 and 2,127.64 is: 2,936.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.40 : 5,376.80 = 2,127.64 : x
  2. Step 2: Convert to fraction form
    3,896.40/5,376.80 = 2,127.64/x
  3. Step 3: Cross multiply
    3,896.40x = 5,376.80 × 2,127.64
  4. Step 4: Simplify right side
    3,896.40x = 11,439,894.75
  5. Step 5: Solve for x
    x = 11,439,894.75/3,896.40
  6. Step 6: Final answer
    x = 2,936.02

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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.