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Finding the Fourth Proportional to 3,841.94, 5,759.67 and 1,532.18

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Solution

The fourth proportional to 3,841.94, 5,759.67 and 1,532.18 is: 2,296.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.94 : 5,759.67 = 1,532.18 : x
  2. Step 2: Convert to fraction form
    3,841.94/5,759.67 = 1,532.18/x
  3. Step 3: Cross multiply
    3,841.94x = 5,759.67 × 1,532.18
  4. Step 4: Simplify right side
    3,841.94x = 8,824,851.18
  5. Step 5: Solve for x
    x = 8,824,851.18/3,841.94
  6. Step 6: Final answer
    x = 2,296.98

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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.