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Finding the Fourth Proportional to 5,464.02, 8,193.18 and 1,952.67

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Solution

The fourth proportional to 5,464.02, 8,193.18 and 1,952.67 is: 2,927.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,464.02 : 8,193.18 = 1,952.67 : x
  2. Step 2: Convert to fraction form
    5,464.02/8,193.18 = 1,952.67/x
  3. Step 3: Cross multiply
    5,464.02x = 8,193.18 × 1,952.67
  4. Step 4: Simplify right side
    5,464.02x = 15,998,576.79
  5. Step 5: Solve for x
    x = 15,998,576.79/5,464.02
  6. Step 6: Final answer
    x = 2,927.99

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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.