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Finding the Fourth Proportional to 4,099.87, 6,117.83 and 3,658.09

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Solution

The fourth proportional to 4,099.87, 6,117.83 and 3,658.09 is: 5,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.87 : 6,117.83 = 3,658.09 : x
  2. Step 2: Convert to fraction form
    4,099.87/6,117.83 = 3,658.09/x
  3. Step 3: Cross multiply
    4,099.87x = 6,117.83 × 3,658.09
  4. Step 4: Simplify right side
    4,099.87x = 22,379,566.60
  5. Step 5: Solve for x
    x = 22,379,566.60/4,099.87
  6. Step 6: Final answer
    x = 5,458.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.