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Finding the Fourth Proportional to 5,841.40, 8,061.16 and 3,188.80

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Solution

The fourth proportional to 5,841.40, 8,061.16 and 3,188.80 is: 4,400.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.40 : 8,061.16 = 3,188.80 : x
  2. Step 2: Convert to fraction form
    5,841.40/8,061.16 = 3,188.80/x
  3. Step 3: Cross multiply
    5,841.40x = 8,061.16 × 3,188.80
  4. Step 4: Simplify right side
    5,841.40x = 25,705,427.01
  5. Step 5: Solve for x
    x = 25,705,427.01/5,841.40
  6. Step 6: Final answer
    x = 4,400.56

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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.