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Finding the Fourth Proportional to 3,609.60, 5,404.61 and 1,874.58

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Solution

The fourth proportional to 3,609.60, 5,404.61 and 1,874.58 is: 2,806.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.60 : 5,404.61 = 1,874.58 : x
  2. Step 2: Convert to fraction form
    3,609.60/5,404.61 = 1,874.58/x
  3. Step 3: Cross multiply
    3,609.60x = 5,404.61 × 1,874.58
  4. Step 4: Simplify right side
    3,609.60x = 10,131,358.23
  5. Step 5: Solve for x
    x = 10,131,358.23/3,609.60
  6. Step 6: Final answer
    x = 2,806.78

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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.