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Finding the Fourth Proportional to 3,677.61, 5,074.73 and 2,261.39

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Solution

The fourth proportional to 3,677.61, 5,074.73 and 2,261.39 is: 3,120.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.61 : 5,074.73 = 2,261.39 : x
  2. Step 2: Convert to fraction form
    3,677.61/5,074.73 = 2,261.39/x
  3. Step 3: Cross multiply
    3,677.61x = 5,074.73 × 2,261.39
  4. Step 4: Simplify right side
    3,677.61x = 11,475,906.99
  5. Step 5: Solve for x
    x = 11,475,906.99/3,677.61
  6. Step 6: Final answer
    x = 3,120.48

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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.