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Finding the Fourth Proportional to 4,414.78, 6,622.17 and 2,099.26

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Solution

The fourth proportional to 4,414.78, 6,622.17 and 2,099.26 is: 3,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.78 : 6,622.17 = 2,099.26 : x
  2. Step 2: Convert to fraction form
    4,414.78/6,622.17 = 2,099.26/x
  3. Step 3: Cross multiply
    4,414.78x = 6,622.17 × 2,099.26
  4. Step 4: Simplify right side
    4,414.78x = 13,901,656.59
  5. Step 5: Solve for x
    x = 13,901,656.59/4,414.78
  6. Step 6: Final answer
    x = 3,148.89

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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.