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Finding the Fourth Proportional to 3,833.31, 5,289.60 and 2,154.33

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Solution

The fourth proportional to 3,833.31, 5,289.60 and 2,154.33 is: 2,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.31 : 5,289.60 = 2,154.33 : x
  2. Step 2: Convert to fraction form
    3,833.31/5,289.60 = 2,154.33/x
  3. Step 3: Cross multiply
    3,833.31x = 5,289.60 × 2,154.33
  4. Step 4: Simplify right side
    3,833.31x = 11,395,543.97
  5. Step 5: Solve for x
    x = 11,395,543.97/3,833.31
  6. Step 6: Final answer
    x = 2,972.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.