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Finding the Fourth Proportional to 3,834.48, 5,752.68 and 1,201.92

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Solution

The fourth proportional to 3,834.48, 5,752.68 and 1,201.92 is: 1,803.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.48 : 5,752.68 = 1,201.92 : x
  2. Step 2: Convert to fraction form
    3,834.48/5,752.68 = 1,201.92/x
  3. Step 3: Cross multiply
    3,834.48x = 5,752.68 × 1,201.92
  4. Step 4: Simplify right side
    3,834.48x = 6,914,261.15
  5. Step 5: Solve for x
    x = 6,914,261.15/3,834.48
  6. Step 6: Final answer
    x = 1,803.18

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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.