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Finding the Fourth Proportional to 3,765.66, 5,197.16 and 2,273.80

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Solution

The fourth proportional to 3,765.66, 5,197.16 and 2,273.80 is: 3,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,765.66 : 5,197.16 = 2,273.80 : x
  2. Step 2: Convert to fraction form
    3,765.66/5,197.16 = 2,273.80/x
  3. Step 3: Cross multiply
    3,765.66x = 5,197.16 × 2,273.80
  4. Step 4: Simplify right side
    3,765.66x = 11,817,290.23
  5. Step 5: Solve for x
    x = 11,817,290.23/3,765.66
  6. Step 6: Final answer
    x = 3,138.17

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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.