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Finding the Fourth Proportional to 5,997.96, 8,277.16 and 3,345.24

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Solution

The fourth proportional to 5,997.96, 8,277.16 and 3,345.24 is: 4,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997.96 : 8,277.16 = 3,345.24 : x
  2. Step 2: Convert to fraction form
    5,997.96/8,277.16 = 3,345.24/x
  3. Step 3: Cross multiply
    5,997.96x = 8,277.16 × 3,345.24
  4. Step 4: Simplify right side
    5,997.96x = 27,689,086.72
  5. Step 5: Solve for x
    x = 27,689,086.72/5,997.96
  6. Step 6: Final answer
    x = 4,616.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.