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Finding the Fourth Proportional to 5,735.28, 8,604 and 1,839.36

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Solution

The fourth proportional to 5,735.28, 8,604 and 1,839.36 is: 2,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.28 : 8,604 = 1,839.36 : x
  2. Step 2: Convert to fraction form
    5,735.28/8,604 = 1,839.36/x
  3. Step 3: Cross multiply
    5,735.28x = 8,604 × 1,839.36
  4. Step 4: Simplify right side
    5,735.28x = 15,825,853.44
  5. Step 5: Solve for x
    x = 15,825,853.44/5,735.28
  6. Step 6: Final answer
    x = 2,759.39

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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.