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Finding the Fourth Proportional to 5,855.31, 8,083.68 and 3,871.62

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Solution

The fourth proportional to 5,855.31, 8,083.68 and 3,871.62 is: 5,345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.31 : 8,083.68 = 3,871.62 : x
  2. Step 2: Convert to fraction form
    5,855.31/8,083.68 = 3,871.62/x
  3. Step 3: Cross multiply
    5,855.31x = 8,083.68 × 3,871.62
  4. Step 4: Simplify right side
    5,855.31x = 31,296,952.96
  5. Step 5: Solve for x
    x = 31,296,952.96/5,855.31
  6. Step 6: Final answer
    x = 5,345.05

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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.