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Finding the Fourth Proportional to 5,382.50, 8,074.44 and 1,919.78

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Solution

The fourth proportional to 5,382.50, 8,074.44 and 1,919.78 is: 2,879.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.50 : 8,074.44 = 1,919.78 : x
  2. Step 2: Convert to fraction form
    5,382.50/8,074.44 = 1,919.78/x
  3. Step 3: Cross multiply
    5,382.50x = 8,074.44 × 1,919.78
  4. Step 4: Simplify right side
    5,382.50x = 15,501,148.42
  5. Step 5: Solve for x
    x = 15,501,148.42/5,382.50
  6. Step 6: Final answer
    x = 2,879.92

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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.