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Finding the Fourth Proportional to 6,438.62, 8,882.16 and 4,199.48

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Solution

The fourth proportional to 6,438.62, 8,882.16 and 4,199.48 is: 5,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.62 : 8,882.16 = 4,199.48 : x
  2. Step 2: Convert to fraction form
    6,438.62/8,882.16 = 4,199.48/x
  3. Step 3: Cross multiply
    6,438.62x = 8,882.16 × 4,199.48
  4. Step 4: Simplify right side
    6,438.62x = 37,300,453.28
  5. Step 5: Solve for x
    x = 37,300,453.28/6,438.62
  6. Step 6: Final answer
    x = 5,793.24

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