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Finding the Fourth Proportional to 3,762.25, 5,192.09 and 2,270.14

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Solution

The fourth proportional to 3,762.25, 5,192.09 and 2,270.14 is: 3,132.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.25 : 5,192.09 = 2,270.14 : x
  2. Step 2: Convert to fraction form
    3,762.25/5,192.09 = 2,270.14/x
  3. Step 3: Cross multiply
    3,762.25x = 5,192.09 × 2,270.14
  4. Step 4: Simplify right side
    3,762.25x = 11,786,759.48
  5. Step 5: Solve for x
    x = 11,786,759.48/3,762.25
  6. Step 6: Final answer
    x = 3,132.90

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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.