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Finding the Fourth Proportional to 3,866.80, 5,798.27 and 1,233.96

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Solution

The fourth proportional to 3,866.80, 5,798.27 and 1,233.96 is: 1,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.80 : 5,798.27 = 1,233.96 : x
  2. Step 2: Convert to fraction form
    3,866.80/5,798.27 = 1,233.96/x
  3. Step 3: Cross multiply
    3,866.80x = 5,798.27 × 1,233.96
  4. Step 4: Simplify right side
    3,866.80x = 7,154,836.33
  5. Step 5: Solve for x
    x = 7,154,836.33/3,866.80
  6. Step 6: Final answer
    x = 1,850.33

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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.