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Finding the Fourth Proportional to 5,195.44, 7,788.44 and 2,074.78

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Solution

The fourth proportional to 5,195.44, 7,788.44 and 2,074.78 is: 3,110.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,195.44 : 7,788.44 = 2,074.78 : x
  2. Step 2: Convert to fraction form
    5,195.44/7,788.44 = 2,074.78/x
  3. Step 3: Cross multiply
    5,195.44x = 7,788.44 × 2,074.78
  4. Step 4: Simplify right side
    5,195.44x = 16,159,314.47
  5. Step 5: Solve for x
    x = 16,159,314.47/5,195.44
  6. Step 6: Final answer
    x = 3,110.29

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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.