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Finding the Fourth Proportional to 3,834.35, 5,751.52 and 1,753.80

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Solution

The fourth proportional to 3,834.35, 5,751.52 and 1,753.80 is: 2,630.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.35 : 5,751.52 = 1,753.80 : x
  2. Step 2: Convert to fraction form
    3,834.35/5,751.52 = 1,753.80/x
  3. Step 3: Cross multiply
    3,834.35x = 5,751.52 × 1,753.80
  4. Step 4: Simplify right side
    3,834.35x = 10,087,011.39
  5. Step 5: Solve for x
    x = 10,087,011.39/3,834.35
  6. Step 6: Final answer
    x = 2,630.69

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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.