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Finding the Fourth Proportional to 5,982.31, 8,259.30 and 3,858.88

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Solution

The fourth proportional to 5,982.31, 8,259.30 and 3,858.88 is: 5,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.31 : 8,259.30 = 3,858.88 : x
  2. Step 2: Convert to fraction form
    5,982.31/8,259.30 = 3,858.88/x
  3. Step 3: Cross multiply
    5,982.31x = 8,259.30 × 3,858.88
  4. Step 4: Simplify right side
    5,982.31x = 31,871,647.58
  5. Step 5: Solve for x
    x = 31,871,647.58/5,982.31
  6. Step 6: Final answer
    x = 5,327.65

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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.