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Finding the Fourth Proportional to 3,765.93, 5,197.59 and 2,274.05

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Solution

The fourth proportional to 3,765.93, 5,197.59 and 2,274.05 is: 3,138.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.93 : 5,197.59 = 2,274.05 : x
  2. Step 2: Convert to fraction form
    3,765.93/5,197.59 = 2,274.05/x
  3. Step 3: Cross multiply
    3,765.93x = 5,197.59 × 2,274.05
  4. Step 4: Simplify right side
    3,765.93x = 11,819,553.55
  5. Step 5: Solve for x
    x = 11,819,553.55/3,765.93
  6. Step 6: Final answer
    x = 3,138.55

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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.