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Finding the Fourth Proportional to 3,898.44, 5,819.22 and 3,406.36

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Solution

The fourth proportional to 3,898.44, 5,819.22 and 3,406.36 is: 5,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.44 : 5,819.22 = 3,406.36 : x
  2. Step 2: Convert to fraction form
    3,898.44/5,819.22 = 3,406.36/x
  3. Step 3: Cross multiply
    3,898.44x = 5,819.22 × 3,406.36
  4. Step 4: Simplify right side
    3,898.44x = 19,822,358.24
  5. Step 5: Solve for x
    x = 19,822,358.24/3,898.44
  6. Step 6: Final answer
    x = 5,084.69

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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.