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Finding the Fourth Proportional to 4,115.40, 6,186.78 and 3,811.02

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Solution

The fourth proportional to 4,115.40, 6,186.78 and 3,811.02 is: 5,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,115.40 : 6,186.78 = 3,811.02 : x
  2. Step 2: Convert to fraction form
    4,115.40/6,186.78 = 3,811.02/x
  3. Step 3: Cross multiply
    4,115.40x = 6,186.78 × 3,811.02
  4. Step 4: Simplify right side
    4,115.40x = 23,577,942.32
  5. Step 5: Solve for x
    x = 23,577,942.32/4,115.40
  6. Step 6: Final answer
    x = 5,729.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.