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Finding the Fourth Proportional to 4,672.55, 6,441.92 and 3,872.88

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Solution

The fourth proportional to 4,672.55, 6,441.92 and 3,872.88 is: 5,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.55 : 6,441.92 = 3,872.88 : x
  2. Step 2: Convert to fraction form
    4,672.55/6,441.92 = 3,872.88/x
  3. Step 3: Cross multiply
    4,672.55x = 6,441.92 × 3,872.88
  4. Step 4: Simplify right side
    4,672.55x = 24,948,783.13
  5. Step 5: Solve for x
    x = 24,948,783.13/4,672.55
  6. Step 6: Final answer
    x = 5,339.44

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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.