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Finding the Fourth Proportional to 5,871.35, 8,102.49 and 3,218.75

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Solution

The fourth proportional to 5,871.35, 8,102.49 and 3,218.75 is: 4,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.35 : 8,102.49 = 3,218.75 : x
  2. Step 2: Convert to fraction form
    5,871.35/8,102.49 = 3,218.75/x
  3. Step 3: Cross multiply
    5,871.35x = 8,102.49 × 3,218.75
  4. Step 4: Simplify right side
    5,871.35x = 26,079,889.69
  5. Step 5: Solve for x
    x = 26,079,889.69/5,871.35
  6. Step 6: Final answer
    x = 4,441.89

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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.