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Finding the Fourth Proportional to 3,764.79, 5,195.44 and 2,086.22

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Solution

The fourth proportional to 3,764.79, 5,195.44 and 2,086.22 is: 2,879.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,764.79 : 5,195.44 = 2,086.22 : x
  2. Step 2: Convert to fraction form
    3,764.79/5,195.44 = 2,086.22/x
  3. Step 3: Cross multiply
    3,764.79x = 5,195.44 × 2,086.22
  4. Step 4: Simplify right side
    3,764.79x = 10,838,824.51
  5. Step 5: Solve for x
    x = 10,838,824.51/3,764.79
  6. Step 6: Final answer
    x = 2,879.00

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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.