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Finding the Fourth Proportional to 5,464.53, 8,207.73 and 3,999.24

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Solution

The fourth proportional to 5,464.53, 8,207.73 and 3,999.24 is: 6,006.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.53 : 8,207.73 = 3,999.24 : x
  2. Step 2: Convert to fraction form
    5,464.53/8,207.73 = 3,999.24/x
  3. Step 3: Cross multiply
    5,464.53x = 8,207.73 × 3,999.24
  4. Step 4: Simplify right side
    5,464.53x = 32,824,682.13
  5. Step 5: Solve for x
    x = 32,824,682.13/5,464.53
  6. Step 6: Final answer
    x = 6,006.86

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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.