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Finding the Fourth Proportional to 3,361.78, 4,633.23 and 2,577.70

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Solution

The fourth proportional to 3,361.78, 4,633.23 and 2,577.70 is: 3,552.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.78 : 4,633.23 = 2,577.70 : x
  2. Step 2: Convert to fraction form
    3,361.78/4,633.23 = 2,577.70/x
  3. Step 3: Cross multiply
    3,361.78x = 4,633.23 × 2,577.70
  4. Step 4: Simplify right side
    3,361.78x = 11,943,076.97
  5. Step 5: Solve for x
    x = 11,943,076.97/3,361.78
  6. Step 6: Final answer
    x = 3,552.61

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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.