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Finding the Fourth Proportional to 3,686.22, 5,081.22 and 2,505.24

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Solution

The fourth proportional to 3,686.22, 5,081.22 and 2,505.24 is: 3,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.22 : 5,081.22 = 2,505.24 : x
  2. Step 2: Convert to fraction form
    3,686.22/5,081.22 = 2,505.24/x
  3. Step 3: Cross multiply
    3,686.22x = 5,081.22 × 2,505.24
  4. Step 4: Simplify right side
    3,686.22x = 12,729,675.59
  5. Step 5: Solve for x
    x = 12,729,675.59/3,686.22
  6. Step 6: Final answer
    x = 3,453.31

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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.