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Finding the Fourth Proportional to 4,099.53, 6,149.79 and 1,177.86

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Solution

The fourth proportional to 4,099.53, 6,149.79 and 1,177.86 is: 1,766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.53 : 6,149.79 = 1,177.86 : x
  2. Step 2: Convert to fraction form
    4,099.53/6,149.79 = 1,177.86/x
  3. Step 3: Cross multiply
    4,099.53x = 6,149.79 × 1,177.86
  4. Step 4: Simplify right side
    4,099.53x = 7,243,591.65
  5. Step 5: Solve for x
    x = 7,243,591.65/4,099.53
  6. Step 6: Final answer
    x = 1,766.93

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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.