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Finding the Fourth Proportional to 3,855.49, 5,321.07 and 2,177.33

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Solution

The fourth proportional to 3,855.49, 5,321.07 and 2,177.33 is: 3,004.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.49 : 5,321.07 = 2,177.33 : x
  2. Step 2: Convert to fraction form
    3,855.49/5,321.07 = 2,177.33/x
  3. Step 3: Cross multiply
    3,855.49x = 5,321.07 × 2,177.33
  4. Step 4: Simplify right side
    3,855.49x = 11,585,698.74
  5. Step 5: Solve for x
    x = 11,585,698.74/3,855.49
  6. Step 6: Final answer
    x = 3,004.99

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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.