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Finding the Fourth Proportional to 5,416.40, 8,134.20 and 3,957.20

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Solution

The fourth proportional to 5,416.40, 8,134.20 and 3,957.20 is: 5,942.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,416.40 : 8,134.20 = 3,957.20 : x
  2. Step 2: Convert to fraction form
    5,416.40/8,134.20 = 3,957.20/x
  3. Step 3: Cross multiply
    5,416.40x = 8,134.20 × 3,957.20
  4. Step 4: Simplify right side
    5,416.40x = 32,188,656.24
  5. Step 5: Solve for x
    x = 32,188,656.24/5,416.40
  6. Step 6: Final answer
    x = 5,942.81

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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.