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Finding the Fourth Proportional to 3,773.39, 5,205.47 and 2,200.50

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Solution

The fourth proportional to 3,773.39, 5,205.47 and 2,200.50 is: 3,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.39 : 5,205.47 = 2,200.50 : x
  2. Step 2: Convert to fraction form
    3,773.39/5,205.47 = 2,200.50/x
  3. Step 3: Cross multiply
    3,773.39x = 5,205.47 × 2,200.50
  4. Step 4: Simplify right side
    3,773.39x = 11,454,625.73
  5. Step 5: Solve for x
    x = 11,454,625.73/3,773.39
  6. Step 6: Final answer
    x = 3,035.64

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Why These Related Problems?

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