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Finding the Fourth Proportional to 4,942.40, 7,404.60 and 3,909.20

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Solution

The fourth proportional to 4,942.40, 7,404.60 and 3,909.20 is: 5,856.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.40 : 7,404.60 = 3,909.20 : x
  2. Step 2: Convert to fraction form
    4,942.40/7,404.60 = 3,909.20/x
  3. Step 3: Cross multiply
    4,942.40x = 7,404.60 × 3,909.20
  4. Step 4: Simplify right side
    4,942.40x = 28,946,062.32
  5. Step 5: Solve for x
    x = 28,946,062.32/4,942.40
  6. Step 6: Final answer
    x = 5,856.68

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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.