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Finding the Fourth Proportional to 4,847.60, 7,270.20 and 1,337.44

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Solution

The fourth proportional to 4,847.60, 7,270.20 and 1,337.44 is: 2,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.60 : 7,270.20 = 1,337.44 : x
  2. Step 2: Convert to fraction form
    4,847.60/7,270.20 = 1,337.44/x
  3. Step 3: Cross multiply
    4,847.60x = 7,270.20 × 1,337.44
  4. Step 4: Simplify right side
    4,847.60x = 9,723,438.11
  5. Step 5: Solve for x
    x = 9,723,438.11/4,847.60
  6. Step 6: Final answer
    x = 2,005.82

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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.