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Finding the Fourth Proportional to 5,841, 8,060.57 and 3,188.41

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Solution

The fourth proportional to 5,841, 8,060.57 and 3,188.41 is: 4,399.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841 : 8,060.57 = 3,188.41 : x
  2. Step 2: Convert to fraction form
    5,841/8,060.57 = 3,188.41/x
  3. Step 3: Cross multiply
    5,841x = 8,060.57 × 3,188.41
  4. Step 4: Simplify right side
    5,841x = 25,700,365.90
  5. Step 5: Solve for x
    x = 25,700,365.90/5,841
  6. Step 6: Final answer
    x = 4,399.99

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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.