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Finding the Fourth Proportional to 5,453.16, 8,179.68 and 1,349.16

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Solution

The fourth proportional to 5,453.16, 8,179.68 and 1,349.16 is: 2,023.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.16 : 8,179.68 = 1,349.16 : x
  2. Step 2: Convert to fraction form
    5,453.16/8,179.68 = 1,349.16/x
  3. Step 3: Cross multiply
    5,453.16x = 8,179.68 × 1,349.16
  4. Step 4: Simplify right side
    5,453.16x = 11,035,697.07
  5. Step 5: Solve for x
    x = 11,035,697.07/5,453.16
  6. Step 6: Final answer
    x = 2,023.73

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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.