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Finding the Fourth Proportional to 5,871.93, 8,098.55 and 5,162.26

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Solution

The fourth proportional to 5,871.93, 8,098.55 and 5,162.26 is: 7,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.93 : 8,098.55 = 5,162.26 : x
  2. Step 2: Convert to fraction form
    5,871.93/8,098.55 = 5,162.26/x
  3. Step 3: Cross multiply
    5,871.93x = 8,098.55 × 5,162.26
  4. Step 4: Simplify right side
    5,871.93x = 41,806,843.75
  5. Step 5: Solve for x
    x = 41,806,843.75/5,871.93
  6. Step 6: Final answer
    x = 7,119.78

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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.