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Finding the Fourth Proportional to 4,000.66, 5,965.73 and 3,723.64

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Solution

The fourth proportional to 4,000.66, 5,965.73 and 3,723.64 is: 5,552.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.66 : 5,965.73 = 3,723.64 : x
  2. Step 2: Convert to fraction form
    4,000.66/5,965.73 = 3,723.64/x
  3. Step 3: Cross multiply
    4,000.66x = 5,965.73 × 3,723.64
  4. Step 4: Simplify right side
    4,000.66x = 22,214,230.86
  5. Step 5: Solve for x
    x = 22,214,230.86/4,000.66
  6. Step 6: Final answer
    x = 5,552.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.