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Finding the Fourth Proportional to 3,833.15, 5,747.04 and 1,959.60

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Solution

The fourth proportional to 3,833.15, 5,747.04 and 1,959.60 is: 2,938.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.15 : 5,747.04 = 1,959.60 : x
  2. Step 2: Convert to fraction form
    3,833.15/5,747.04 = 1,959.60/x
  3. Step 3: Cross multiply
    3,833.15x = 5,747.04 × 1,959.60
  4. Step 4: Simplify right side
    3,833.15x = 11,261,921.14
  5. Step 5: Solve for x
    x = 11,261,921.14/3,833.15
  6. Step 6: Final answer
    x = 2,938.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.