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Finding the Fourth Proportional to 5,464.53, 8,199.20 and 2,866.86

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Solution

The fourth proportional to 5,464.53, 8,199.20 and 2,866.86 is: 4,301.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.53 : 8,199.20 = 2,866.86 : x
  2. Step 2: Convert to fraction form
    5,464.53/8,199.20 = 2,866.86/x
  3. Step 3: Cross multiply
    5,464.53x = 8,199.20 × 2,866.86
  4. Step 4: Simplify right side
    5,464.53x = 23,505,958.51
  5. Step 5: Solve for x
    x = 23,505,958.51/5,464.53
  6. Step 6: Final answer
    x = 4,301.55

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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.