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Finding the Fourth Proportional to 4,706.92, 6,494.70 and 2,717.56

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Solution

The fourth proportional to 4,706.92, 6,494.70 and 2,717.56 is: 3,749.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,706.92 : 6,494.70 = 2,717.56 : x
  2. Step 2: Convert to fraction form
    4,706.92/6,494.70 = 2,717.56/x
  3. Step 3: Cross multiply
    4,706.92x = 6,494.70 × 2,717.56
  4. Step 4: Simplify right side
    4,706.92x = 17,649,736.93
  5. Step 5: Solve for x
    x = 17,649,736.93/4,706.92
  6. Step 6: Final answer
    x = 3,749.74

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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.