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Finding the Fourth Proportional to 5,494.68, 8,243.43 and 1,599.09

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Solution

The fourth proportional to 5,494.68, 8,243.43 and 1,599.09 is: 2,399.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.68 : 8,243.43 = 1,599.09 : x
  2. Step 2: Convert to fraction form
    5,494.68/8,243.43 = 1,599.09/x
  3. Step 3: Cross multiply
    5,494.68x = 8,243.43 × 1,599.09
  4. Step 4: Simplify right side
    5,494.68x = 13,181,986.48
  5. Step 5: Solve for x
    x = 13,181,986.48/5,494.68
  6. Step 6: Final answer
    x = 2,399.05

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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.