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Finding the Fourth Proportional to 5,997.24, 8,999.10 and 2,302.02

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Solution

The fourth proportional to 5,997.24, 8,999.10 and 2,302.02 is: 3,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.24 : 8,999.10 = 2,302.02 : x
  2. Step 2: Convert to fraction form
    5,997.24/8,999.10 = 2,302.02/x
  3. Step 3: Cross multiply
    5,997.24x = 8,999.10 × 2,302.02
  4. Step 4: Simplify right side
    5,997.24x = 20,716,108.18
  5. Step 5: Solve for x
    x = 20,716,108.18/5,997.24
  6. Step 6: Final answer
    x = 3,454.27

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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.