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Finding the Fourth Proportional to 3,853.00, 5,777.31 and 1,221.17

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Solution

The fourth proportional to 3,853.00, 5,777.31 and 1,221.17 is: 1,831.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.00 : 5,777.31 = 1,221.17 : x
  2. Step 2: Convert to fraction form
    3,853.00/5,777.31 = 1,221.17/x
  3. Step 3: Cross multiply
    3,853.00x = 5,777.31 × 1,221.17
  4. Step 4: Simplify right side
    3,853.00x = 7,055,072.34
  5. Step 5: Solve for x
    x = 7,055,072.34/3,853.00
  6. Step 6: Final answer
    x = 1,831.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.