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Finding the Fourth Proportional to 5,965.86, 8,233.64 and 3,607.99

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Solution

The fourth proportional to 5,965.86, 8,233.64 and 3,607.99 is: 4,979.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.86 : 8,233.64 = 3,607.99 : x
  2. Step 2: Convert to fraction form
    5,965.86/8,233.64 = 3,607.99/x
  3. Step 3: Cross multiply
    5,965.86x = 8,233.64 × 3,607.99
  4. Step 4: Simplify right side
    5,965.86x = 29,706,890.78
  5. Step 5: Solve for x
    x = 29,706,890.78/5,965.86
  6. Step 6: Final answer
    x = 4,979.48

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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.