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Finding the Fourth Proportional to 3,215.74, 4,825.26 and 2,435.48

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Solution

The fourth proportional to 3,215.74, 4,825.26 and 2,435.48 is: 3,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,215.74 : 4,825.26 = 2,435.48 : x
  2. Step 2: Convert to fraction form
    3,215.74/4,825.26 = 2,435.48/x
  3. Step 3: Cross multiply
    3,215.74x = 4,825.26 × 2,435.48
  4. Step 4: Simplify right side
    3,215.74x = 11,751,824.22
  5. Step 5: Solve for x
    x = 11,751,824.22/3,215.74
  6. Step 6: Final answer
    x = 3,654.47

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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.