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Finding the Fourth Proportional to 3,778.35, 5,214.41 and 2,099.89

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Solution

The fourth proportional to 3,778.35, 5,214.41 and 2,099.89 is: 2,898.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.35 : 5,214.41 = 2,099.89 : x
  2. Step 2: Convert to fraction form
    3,778.35/5,214.41 = 2,099.89/x
  3. Step 3: Cross multiply
    3,778.35x = 5,214.41 × 2,099.89
  4. Step 4: Simplify right side
    3,778.35x = 10,949,691.31
  5. Step 5: Solve for x
    x = 10,949,691.31/3,778.35
  6. Step 6: Final answer
    x = 2,898.01

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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.