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Finding the Fourth Proportional to 5,891.37, 8,129.18 and 3,768.80

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Solution

The fourth proportional to 5,891.37, 8,129.18 and 3,768.80 is: 5,200.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.37 : 8,129.18 = 3,768.80 : x
  2. Step 2: Convert to fraction form
    5,891.37/8,129.18 = 3,768.80/x
  3. Step 3: Cross multiply
    5,891.37x = 8,129.18 × 3,768.80
  4. Step 4: Simplify right side
    5,891.37x = 30,637,255.06
  5. Step 5: Solve for x
    x = 30,637,255.06/5,891.37
  6. Step 6: Final answer
    x = 5,200.36

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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.