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Finding the Fourth Proportional to 5,393.68, 8,089.57 and 1,883.41

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Solution

The fourth proportional to 5,393.68, 8,089.57 and 1,883.41 is: 2,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,393.68 : 8,089.57 = 1,883.41 : x
  2. Step 2: Convert to fraction form
    5,393.68/8,089.57 = 1,883.41/x
  3. Step 3: Cross multiply
    5,393.68x = 8,089.57 × 1,883.41
  4. Step 4: Simplify right side
    5,393.68x = 15,235,977.03
  5. Step 5: Solve for x
    x = 15,235,977.03/5,393.68
  6. Step 6: Final answer
    x = 2,824.78

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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.