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Finding the Fourth Proportional to 4,361, 6,544.38 and 2,052.68

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Solution

The fourth proportional to 4,361, 6,544.38 and 2,052.68 is: 3,080.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,361 : 6,544.38 = 2,052.68 : x
  2. Step 2: Convert to fraction form
    4,361/6,544.38 = 2,052.68/x
  3. Step 3: Cross multiply
    4,361x = 6,544.38 × 2,052.68
  4. Step 4: Simplify right side
    4,361x = 13,433,517.94
  5. Step 5: Solve for x
    x = 13,433,517.94/4,361
  6. Step 6: Final answer
    x = 3,080.38

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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.