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Finding the Fourth Proportional to 6,438.74, 8,885.49 and 3,644.78

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Solution

The fourth proportional to 6,438.74, 8,885.49 and 3,644.78 is: 5,029.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.74 : 8,885.49 = 3,644.78 : x
  2. Step 2: Convert to fraction form
    6,438.74/8,885.49 = 3,644.78/x
  3. Step 3: Cross multiply
    6,438.74x = 8,885.49 × 3,644.78
  4. Step 4: Simplify right side
    6,438.74x = 32,385,656.24
  5. Step 5: Solve for x
    x = 32,385,656.24/6,438.74
  6. Step 6: Final answer
    x = 5,029.81

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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.