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Finding the Fourth Proportional to 4,867.96, 6,717.72 and 2,772.04

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Solution

The fourth proportional to 4,867.96, 6,717.72 and 2,772.04 is: 3,825.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.96 : 6,717.72 = 2,772.04 : x
  2. Step 2: Convert to fraction form
    4,867.96/6,717.72 = 2,772.04/x
  3. Step 3: Cross multiply
    4,867.96x = 6,717.72 × 2,772.04
  4. Step 4: Simplify right side
    4,867.96x = 18,621,788.55
  5. Step 5: Solve for x
    x = 18,621,788.55/4,867.96
  6. Step 6: Final answer
    x = 3,825.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.