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Finding the Fourth Proportional to 5,871.57, 8,102.31 and 3,353.33

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Solution

The fourth proportional to 5,871.57, 8,102.31 and 3,353.33 is: 4,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.57 : 8,102.31 = 3,353.33 : x
  2. Step 2: Convert to fraction form
    5,871.57/8,102.31 = 3,353.33/x
  3. Step 3: Cross multiply
    5,871.57x = 8,102.31 × 3,353.33
  4. Step 4: Simplify right side
    5,871.57x = 27,169,698.94
  5. Step 5: Solve for x
    x = 27,169,698.94/5,871.57
  6. Step 6: Final answer
    x = 4,627.34

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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.