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Finding the Fourth Proportional to 4,099.41, 6,149.12 and 1,177.71

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Solution

The fourth proportional to 4,099.41, 6,149.12 and 1,177.71 is: 1,766.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.41 : 6,149.12 = 1,177.71 : x
  2. Step 2: Convert to fraction form
    4,099.41/6,149.12 = 1,177.71/x
  3. Step 3: Cross multiply
    4,099.41x = 6,149.12 × 1,177.71
  4. Step 4: Simplify right side
    4,099.41x = 7,241,903.05
  5. Step 5: Solve for x
    x = 7,241,903.05/4,099.41
  6. Step 6: Final answer
    x = 1,766.57

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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.