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Finding the Fourth Proportional to 5,251.50, 7,878.06 and 1,789.56

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Solution

The fourth proportional to 5,251.50, 7,878.06 and 1,789.56 is: 2,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,251.50 : 7,878.06 = 1,789.56 : x
  2. Step 2: Convert to fraction form
    5,251.50/7,878.06 = 1,789.56/x
  3. Step 3: Cross multiply
    5,251.50x = 7,878.06 × 1,789.56
  4. Step 4: Simplify right side
    5,251.50x = 14,098,261.05
  5. Step 5: Solve for x
    x = 14,098,261.05/5,251.50
  6. Step 6: Final answer
    x = 2,684.62

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1.5x scale

Why These Related Problems?

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