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Finding the Fourth Proportional to 3,670.83, 5,065.78 and 1,992.25

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Solution

The fourth proportional to 3,670.83, 5,065.78 and 1,992.25 is: 2,749.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,670.83 : 5,065.78 = 1,992.25 : x
  2. Step 2: Convert to fraction form
    3,670.83/5,065.78 = 1,992.25/x
  3. Step 3: Cross multiply
    3,670.83x = 5,065.78 × 1,992.25
  4. Step 4: Simplify right side
    3,670.83x = 10,092,295.37
  5. Step 5: Solve for x
    x = 10,092,295.37/3,670.83
  6. Step 6: Final answer
    x = 2,749.32

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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.