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Finding the Fourth Proportional to 3,833.56, 5,750.28 and 2,185.96

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Solution

The fourth proportional to 3,833.56, 5,750.28 and 2,185.96 is: 3,278.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.56 : 5,750.28 = 2,185.96 : x
  2. Step 2: Convert to fraction form
    3,833.56/5,750.28 = 2,185.96/x
  3. Step 3: Cross multiply
    3,833.56x = 5,750.28 × 2,185.96
  4. Step 4: Simplify right side
    3,833.56x = 12,569,882.07
  5. Step 5: Solve for x
    x = 12,569,882.07/3,833.56
  6. Step 6: Final answer
    x = 3,278.91

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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.