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Finding the Fourth Proportional to 5,997.64, 8,997.42 and 2,534.92

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Solution

The fourth proportional to 5,997.64, 8,997.42 and 2,534.92 is: 3,802.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.64 : 8,997.42 = 2,534.92 : x
  2. Step 2: Convert to fraction form
    5,997.64/8,997.42 = 2,534.92/x
  3. Step 3: Cross multiply
    5,997.64x = 8,997.42 × 2,534.92
  4. Step 4: Simplify right side
    5,997.64x = 22,807,739.91
  5. Step 5: Solve for x
    x = 22,807,739.91/5,997.64
  6. Step 6: Final answer
    x = 3,802.79

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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.