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Finding the Fourth Proportional to 5,871.21, 8,102.23 and 3,218.56

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Solution

The fourth proportional to 5,871.21, 8,102.23 and 3,218.56 is: 4,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.21 : 8,102.23 = 3,218.56 : x
  2. Step 2: Convert to fraction form
    5,871.21/8,102.23 = 3,218.56/x
  3. Step 3: Cross multiply
    5,871.21x = 8,102.23 × 3,218.56
  4. Step 4: Simplify right side
    5,871.21x = 26,077,507.87
  5. Step 5: Solve for x
    x = 26,077,507.87/5,871.21
  6. Step 6: Final answer
    x = 4,441.59

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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.