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Finding the Fourth Proportional to 3,860.74, 5,327.80 and 2,092.30

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Solution

The fourth proportional to 3,860.74, 5,327.80 and 2,092.30 is: 2,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.74 : 5,327.80 = 2,092.30 : x
  2. Step 2: Convert to fraction form
    3,860.74/5,327.80 = 2,092.30/x
  3. Step 3: Cross multiply
    3,860.74x = 5,327.80 × 2,092.30
  4. Step 4: Simplify right side
    3,860.74x = 11,147,355.94
  5. Step 5: Solve for x
    x = 11,147,355.94/3,860.74
  6. Step 6: Final answer
    x = 2,887.36

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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.