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Finding the Fourth Proportional to 3,817.57, 5,714.20 and 3,292.69

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Solution

The fourth proportional to 3,817.57, 5,714.20 and 3,292.69 is: 4,928.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.57 : 5,714.20 = 3,292.69 : x
  2. Step 2: Convert to fraction form
    3,817.57/5,714.20 = 3,292.69/x
  3. Step 3: Cross multiply
    3,817.57x = 5,714.20 × 3,292.69
  4. Step 4: Simplify right side
    3,817.57x = 18,815,089.20
  5. Step 5: Solve for x
    x = 18,815,089.20/3,817.57
  6. Step 6: Final answer
    x = 4,928.55

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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.