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Finding the Fourth Proportional to 5,635.44, 8,449.38 and 5,049

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Solution

The fourth proportional to 5,635.44, 8,449.38 and 5,049 is: 7,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.44 : 8,449.38 = 5,049 : x
  2. Step 2: Convert to fraction form
    5,635.44/8,449.38 = 5,049/x
  3. Step 3: Cross multiply
    5,635.44x = 8,449.38 × 5,049
  4. Step 4: Simplify right side
    5,635.44x = 42,660,919.62
  5. Step 5: Solve for x
    x = 42,660,919.62/5,635.44
  6. Step 6: Final answer
    x = 7,570.11

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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.