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Finding the Fourth Proportional to 5,996.35, 8,993.71 and 1,614.07

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Solution

The fourth proportional to 5,996.35, 8,993.71 and 1,614.07 is: 2,420.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.35 : 8,993.71 = 1,614.07 : x
  2. Step 2: Convert to fraction form
    5,996.35/8,993.71 = 1,614.07/x
  3. Step 3: Cross multiply
    5,996.35x = 8,993.71 × 1,614.07
  4. Step 4: Simplify right side
    5,996.35x = 14,516,455.02
  5. Step 5: Solve for x
    x = 14,516,455.02/5,996.35
  6. Step 6: Final answer
    x = 2,420.88

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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.