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Finding the Fourth Proportional to 4,066.88, 6,099.64 and 1,144.53

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Solution

The fourth proportional to 4,066.88, 6,099.64 and 1,144.53 is: 1,716.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.88 : 6,099.64 = 1,144.53 : x
  2. Step 2: Convert to fraction form
    4,066.88/6,099.64 = 1,144.53/x
  3. Step 3: Cross multiply
    4,066.88x = 6,099.64 × 1,144.53
  4. Step 4: Simplify right side
    4,066.88x = 6,981,218.11
  5. Step 5: Solve for x
    x = 6,981,218.11/4,066.88
  6. Step 6: Final answer
    x = 1,716.61

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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.