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Finding the Fourth Proportional to 6,438.12, 8,882.82 and 3,643.56

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Solution

The fourth proportional to 6,438.12, 8,882.82 and 3,643.56 is: 5,027.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.12 : 8,882.82 = 3,643.56 : x
  2. Step 2: Convert to fraction form
    6,438.12/8,882.82 = 3,643.56/x
  3. Step 3: Cross multiply
    6,438.12x = 8,882.82 × 3,643.56
  4. Step 4: Simplify right side
    6,438.12x = 32,365,087.64
  5. Step 5: Solve for x
    x = 32,365,087.64/6,438.12
  6. Step 6: Final answer
    x = 5,027.10

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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.