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Finding the Fourth Proportional to 4,956.92, 6,843.36 and 3,446.72

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Solution

The fourth proportional to 4,956.92, 6,843.36 and 3,446.72 is: 4,758.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.92 : 6,843.36 = 3,446.72 : x
  2. Step 2: Convert to fraction form
    4,956.92/6,843.36 = 3,446.72/x
  3. Step 3: Cross multiply
    4,956.92x = 6,843.36 × 3,446.72
  4. Step 4: Simplify right side
    4,956.92x = 23,587,145.78
  5. Step 5: Solve for x
    x = 23,587,145.78/4,956.92
  6. Step 6: Final answer
    x = 4,758.43

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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.