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Finding the Fourth Proportional to 6,575.87, 9,074.48 and 3,921.90

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Solution

The fourth proportional to 6,575.87, 9,074.48 and 3,921.90 is: 5,412.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,575.87 : 9,074.48 = 3,921.90 : x
  2. Step 2: Convert to fraction form
    6,575.87/9,074.48 = 3,921.90/x
  3. Step 3: Cross multiply
    6,575.87x = 9,074.48 × 3,921.90
  4. Step 4: Simplify right side
    6,575.87x = 35,589,183.50
  5. Step 5: Solve for x
    x = 35,589,183.50/6,575.87
  6. Step 6: Final answer
    x = 5,412.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.