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Finding the Fourth Proportional to 4,640.32, 6,404.52 and 2,872.72

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Solution

The fourth proportional to 4,640.32, 6,404.52 and 2,872.72 is: 3,964.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.32 : 6,404.52 = 2,872.72 : x
  2. Step 2: Convert to fraction form
    4,640.32/6,404.52 = 2,872.72/x
  3. Step 3: Cross multiply
    4,640.32x = 6,404.52 × 2,872.72
  4. Step 4: Simplify right side
    4,640.32x = 18,398,392.69
  5. Step 5: Solve for x
    x = 18,398,392.69/4,640.32
  6. Step 6: Final answer
    x = 3,964.90

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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.