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Finding the Fourth Proportional to 3,758.42, 5,185.46 and 2,266.80

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Solution

The fourth proportional to 3,758.42, 5,185.46 and 2,266.80 is: 3,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.42 : 5,185.46 = 2,266.80 : x
  2. Step 2: Convert to fraction form
    3,758.42/5,185.46 = 2,266.80/x
  3. Step 3: Cross multiply
    3,758.42x = 5,185.46 × 2,266.80
  4. Step 4: Simplify right side
    3,758.42x = 11,754,400.73
  5. Step 5: Solve for x
    x = 11,754,400.73/3,758.42
  6. Step 6: Final answer
    x = 3,127.48

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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.