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Finding the Fourth Proportional to 4,066.26, 6,099.39 and 3,803.82

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Solution

The fourth proportional to 4,066.26, 6,099.39 and 3,803.82 is: 5,705.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.26 : 6,099.39 = 3,803.82 : x
  2. Step 2: Convert to fraction form
    4,066.26/6,099.39 = 3,803.82/x
  3. Step 3: Cross multiply
    4,066.26x = 6,099.39 × 3,803.82
  4. Step 4: Simplify right side
    4,066.26x = 23,200,981.67
  5. Step 5: Solve for x
    x = 23,200,981.67/4,066.26
  6. Step 6: Final answer
    x = 5,705.73

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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.