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Finding the Fourth Proportional to 6,438.56, 8,885.28 and 3,644

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Solution

The fourth proportional to 6,438.56, 8,885.28 and 3,644 is: 5,028.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.56 : 8,885.28 = 3,644 : x
  2. Step 2: Convert to fraction form
    6,438.56/8,885.28 = 3,644/x
  3. Step 3: Cross multiply
    6,438.56x = 8,885.28 × 3,644
  4. Step 4: Simplify right side
    6,438.56x = 32,377,960.32
  5. Step 5: Solve for x
    x = 32,377,960.32/6,438.56
  6. Step 6: Final answer
    x = 5,028.76

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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.