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Finding the Fourth Proportional to 5,781.99, 8,673 and 1,399.44

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Solution

The fourth proportional to 5,781.99, 8,673 and 1,399.44 is: 2,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.99 : 8,673 = 1,399.44 : x
  2. Step 2: Convert to fraction form
    5,781.99/8,673 = 1,399.44/x
  3. Step 3: Cross multiply
    5,781.99x = 8,673 × 1,399.44
  4. Step 4: Simplify right side
    5,781.99x = 12,137,343.12
  5. Step 5: Solve for x
    x = 12,137,343.12/5,781.99
  6. Step 6: Final answer
    x = 2,099.16

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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.