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Finding the Fourth Proportional to 4,974.96, 6,865.48 and 2,706.30

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Solution

The fourth proportional to 4,974.96, 6,865.48 and 2,706.30 is: 3,734.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.96 : 6,865.48 = 2,706.30 : x
  2. Step 2: Convert to fraction form
    4,974.96/6,865.48 = 2,706.30/x
  3. Step 3: Cross multiply
    4,974.96x = 6,865.48 × 2,706.30
  4. Step 4: Simplify right side
    4,974.96x = 18,580,048.52
  5. Step 5: Solve for x
    x = 18,580,048.52/4,974.96
  6. Step 6: Final answer
    x = 3,734.71

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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.