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Finding the Fourth Proportional to 5,871.26, 8,102.00 and 3,218.16

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Solution

The fourth proportional to 5,871.26, 8,102.00 and 3,218.16 is: 4,440.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.26 : 8,102.00 = 3,218.16 : x
  2. Step 2: Convert to fraction form
    5,871.26/8,102.00 = 3,218.16/x
  3. Step 3: Cross multiply
    5,871.26x = 8,102.00 × 3,218.16
  4. Step 4: Simplify right side
    5,871.26x = 26,073,493.34
  5. Step 5: Solve for x
    x = 26,073,493.34/5,871.26
  6. Step 6: Final answer
    x = 4,440.87

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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.