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Finding the Fourth Proportional to 3,612.26, 4,984.67 and 2,099.69

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Solution

The fourth proportional to 3,612.26, 4,984.67 and 2,099.69 is: 2,897.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,612.26 : 4,984.67 = 2,099.69 : x
  2. Step 2: Convert to fraction form
    3,612.26/4,984.67 = 2,099.69/x
  3. Step 3: Cross multiply
    3,612.26x = 4,984.67 × 2,099.69
  4. Step 4: Simplify right side
    3,612.26x = 10,466,226.33
  5. Step 5: Solve for x
    x = 10,466,226.33/3,612.26
  6. Step 6: Final answer
    x = 2,897.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.