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Finding the Fourth Proportional to 4,974.18, 6,863.94 and 2,878.44

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Solution

The fourth proportional to 4,974.18, 6,863.94 and 2,878.44 is: 3,972.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.18 : 6,863.94 = 2,878.44 : x
  2. Step 2: Convert to fraction form
    4,974.18/6,863.94 = 2,878.44/x
  3. Step 3: Cross multiply
    4,974.18x = 6,863.94 × 2,878.44
  4. Step 4: Simplify right side
    4,974.18x = 19,757,439.45
  5. Step 5: Solve for x
    x = 19,757,439.45/4,974.18
  6. Step 6: Final answer
    x = 3,972.00

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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.