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Finding the Fourth Proportional to 3,367.78, 5,053.83 and 1,635.46

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Solution

The fourth proportional to 3,367.78, 5,053.83 and 1,635.46 is: 2,454.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,367.78 : 5,053.83 = 1,635.46 : x
  2. Step 2: Convert to fraction form
    3,367.78/5,053.83 = 1,635.46/x
  3. Step 3: Cross multiply
    3,367.78x = 5,053.83 × 1,635.46
  4. Step 4: Simplify right side
    3,367.78x = 8,265,336.81
  5. Step 5: Solve for x
    x = 8,265,336.81/3,367.78
  6. Step 6: Final answer
    x = 2,454.24

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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.