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Finding the Fourth Proportional to 2,863.61, 3,972.01 and 2,787.74

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Solution

The fourth proportional to 2,863.61, 3,972.01 and 2,787.74 is: 3,866.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,863.61 : 3,972.01 = 2,787.74 : x
  2. Step 2: Convert to fraction form
    2,863.61/3,972.01 = 2,787.74/x
  3. Step 3: Cross multiply
    2,863.61x = 3,972.01 × 2,787.74
  4. Step 4: Simplify right side
    2,863.61x = 11,072,931.16
  5. Step 5: Solve for x
    x = 11,072,931.16/2,863.61
  6. Step 6: Final answer
    x = 3,866.77

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.