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Finding the Fourth Proportional to 4,640.72, 6,404.16 and 2,872.36

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Solution

The fourth proportional to 4,640.72, 6,404.16 and 2,872.36 is: 3,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.72 : 6,404.16 = 2,872.36 : x
  2. Step 2: Convert to fraction form
    4,640.72/6,404.16 = 2,872.36/x
  3. Step 3: Cross multiply
    4,640.72x = 6,404.16 × 2,872.36
  4. Step 4: Simplify right side
    4,640.72x = 18,395,053.02
  5. Step 5: Solve for x
    x = 18,395,053.02/4,640.72
  6. Step 6: Final answer
    x = 3,963.84

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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.