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Finding the Fourth Proportional to 4,361.26, 6,007.80 and 4,138.96

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Solution

The fourth proportional to 4,361.26, 6,007.80 and 4,138.96 is: 5,701.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361.26 : 6,007.80 = 4,138.96 : x
  2. Step 2: Convert to fraction form
    4,361.26/6,007.80 = 4,138.96/x
  3. Step 3: Cross multiply
    4,361.26x = 6,007.80 × 4,138.96
  4. Step 4: Simplify right side
    4,361.26x = 24,866,043.89
  5. Step 5: Solve for x
    x = 24,866,043.89/4,361.26
  6. Step 6: Final answer
    x = 5,701.57

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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.