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Finding the Fourth Proportional to 4,886.71, 6,743.78 and 2,896.94

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Solution

The fourth proportional to 4,886.71, 6,743.78 and 2,896.94 is: 3,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,886.71 : 6,743.78 = 2,896.94 : x
  2. Step 2: Convert to fraction form
    4,886.71/6,743.78 = 2,896.94/x
  3. Step 3: Cross multiply
    4,886.71x = 6,743.78 × 2,896.94
  4. Step 4: Simplify right side
    4,886.71x = 19,536,326.03
  5. Step 5: Solve for x
    x = 19,536,326.03/4,886.71
  6. Step 6: Final answer
    x = 3,997.85

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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.