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Finding the Fourth Proportional to 3,805.22, 5,249.54 and 2,232.60

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Solution

The fourth proportional to 3,805.22, 5,249.54 and 2,232.60 is: 3,080.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.22 : 5,249.54 = 2,232.60 : x
  2. Step 2: Convert to fraction form
    3,805.22/5,249.54 = 2,232.60/x
  3. Step 3: Cross multiply
    3,805.22x = 5,249.54 × 2,232.60
  4. Step 4: Simplify right side
    3,805.22x = 11,720,123.00
  5. Step 5: Solve for x
    x = 11,720,123.00/3,805.22
  6. Step 6: Final answer
    x = 3,080.01

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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.