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Finding the Fourth Proportional to 5,488.10, 7,571.82 and 3,361.42

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Solution

The fourth proportional to 5,488.10, 7,571.82 and 3,361.42 is: 4,637.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.10 : 7,571.82 = 3,361.42 : x
  2. Step 2: Convert to fraction form
    5,488.10/7,571.82 = 3,361.42/x
  3. Step 3: Cross multiply
    5,488.10x = 7,571.82 × 3,361.42
  4. Step 4: Simplify right side
    5,488.10x = 25,452,067.18
  5. Step 5: Solve for x
    x = 25,452,067.18/5,488.10
  6. Step 6: Final answer
    x = 4,637.68

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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.