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Finding the Fourth Proportional to 5,338.64, 8,009.54 and 2,218.12

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Solution

The fourth proportional to 5,338.64, 8,009.54 and 2,218.12 is: 3,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.64 : 8,009.54 = 2,218.12 : x
  2. Step 2: Convert to fraction form
    5,338.64/8,009.54 = 2,218.12/x
  3. Step 3: Cross multiply
    5,338.64x = 8,009.54 × 2,218.12
  4. Step 4: Simplify right side
    5,338.64x = 17,766,120.86
  5. Step 5: Solve for x
    x = 17,766,120.86/5,338.64
  6. Step 6: Final answer
    x = 3,327.84

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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.