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Finding the Fourth Proportional to 3,896.34, 5,376.71 and 2,127.95

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Solution

The fourth proportional to 3,896.34, 5,376.71 and 2,127.95 is: 2,936.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.34 : 5,376.71 = 2,127.95 : x
  2. Step 2: Convert to fraction form
    3,896.34/5,376.71 = 2,127.95/x
  3. Step 3: Cross multiply
    3,896.34x = 5,376.71 × 2,127.95
  4. Step 4: Simplify right side
    3,896.34x = 11,441,332.52
  5. Step 5: Solve for x
    x = 11,441,332.52/3,896.34
  6. Step 6: Final answer
    x = 2,936.43

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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.