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Finding the Fourth Proportional to 5,464.02, 8,193.20 and 1,952.68

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Solution

The fourth proportional to 5,464.02, 8,193.20 and 1,952.68 is: 2,928.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.02 : 8,193.20 = 1,952.68 : x
  2. Step 2: Convert to fraction form
    5,464.02/8,193.20 = 1,952.68/x
  3. Step 3: Cross multiply
    5,464.02x = 8,193.20 × 1,952.68
  4. Step 4: Simplify right side
    5,464.02x = 15,998,697.78
  5. Step 5: Solve for x
    x = 15,998,697.78/5,464.02
  6. Step 6: Final answer
    x = 2,928.01

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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.