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Finding the Fourth Proportional to 3,835.67, 5,753.51 and 1,238.61

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Solution

The fourth proportional to 3,835.67, 5,753.51 and 1,238.61 is: 1,857.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835.67 : 5,753.51 = 1,238.61 : x
  2. Step 2: Convert to fraction form
    3,835.67/5,753.51 = 1,238.61/x
  3. Step 3: Cross multiply
    3,835.67x = 5,753.51 × 1,238.61
  4. Step 4: Simplify right side
    3,835.67x = 7,126,355.02
  5. Step 5: Solve for x
    x = 7,126,355.02/3,835.67
  6. Step 6: Final answer
    x = 1,857.92

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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.