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Finding the Fourth Proportional to 3,833.33, 5,745.86 and 1,854.78

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Solution

The fourth proportional to 3,833.33, 5,745.86 and 1,854.78 is: 2,780.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.33 : 5,745.86 = 1,854.78 : x
  2. Step 2: Convert to fraction form
    3,833.33/5,745.86 = 1,854.78/x
  3. Step 3: Cross multiply
    3,833.33x = 5,745.86 × 1,854.78
  4. Step 4: Simplify right side
    3,833.33x = 10,657,310.85
  5. Step 5: Solve for x
    x = 10,657,310.85/3,833.33
  6. Step 6: Final answer
    x = 2,780.17

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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.