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Finding the Fourth Proportional to 5,382.53, 8,074.10 and 1,919.78

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Solution

The fourth proportional to 5,382.53, 8,074.10 and 1,919.78 is: 2,879.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,382.53 : 8,074.10 = 1,919.78 : x
  2. Step 2: Convert to fraction form
    5,382.53/8,074.10 = 1,919.78/x
  3. Step 3: Cross multiply
    5,382.53x = 8,074.10 × 1,919.78
  4. Step 4: Simplify right side
    5,382.53x = 15,500,495.70
  5. Step 5: Solve for x
    x = 15,500,495.70/5,382.53
  6. Step 6: Final answer
    x = 2,879.78

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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.