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Finding the Fourth Proportional to 3,654.74, 5,481.57 and 1,706.78

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Solution

The fourth proportional to 3,654.74, 5,481.57 and 1,706.78 is: 2,559.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654.74 : 5,481.57 = 1,706.78 : x
  2. Step 2: Convert to fraction form
    3,654.74/5,481.57 = 1,706.78/x
  3. Step 3: Cross multiply
    3,654.74x = 5,481.57 × 1,706.78
  4. Step 4: Simplify right side
    3,654.74x = 9,355,834.04
  5. Step 5: Solve for x
    x = 9,355,834.04/3,654.74
  6. Step 6: Final answer
    x = 2,559.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.