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Finding the Fourth Proportional to 5,251.74, 7,878.70 and 2,785.89

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Solution

The fourth proportional to 5,251.74, 7,878.70 and 2,785.89 is: 4,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.74 : 7,878.70 = 2,785.89 : x
  2. Step 2: Convert to fraction form
    5,251.74/7,878.70 = 2,785.89/x
  3. Step 3: Cross multiply
    5,251.74x = 7,878.70 × 2,785.89
  4. Step 4: Simplify right side
    5,251.74x = 21,949,224.57
  5. Step 5: Solve for x
    x = 21,949,224.57/5,251.74
  6. Step 6: Final answer
    x = 4,179.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.