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Finding the Fourth Proportional to 5,400.96, 8,098.40 and 3,211.20

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Solution

The fourth proportional to 5,400.96, 8,098.40 and 3,211.20 is: 4,814.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,400.96 : 8,098.40 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    5,400.96/8,098.40 = 3,211.20/x
  3. Step 3: Cross multiply
    5,400.96x = 8,098.40 × 3,211.20
  4. Step 4: Simplify right side
    5,400.96x = 26,005,582.08
  5. Step 5: Solve for x
    x = 26,005,582.08/5,400.96
  6. Step 6: Final answer
    x = 4,814.99

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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.