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Finding the Fourth Proportional to 4,884.52, 7,314.90 and 2,288.20

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Solution

The fourth proportional to 4,884.52, 7,314.90 and 2,288.20 is: 3,426.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,884.52 : 7,314.90 = 2,288.20 : x
  2. Step 2: Convert to fraction form
    4,884.52/7,314.90 = 2,288.20/x
  3. Step 3: Cross multiply
    4,884.52x = 7,314.90 × 2,288.20
  4. Step 4: Simplify right side
    4,884.52x = 16,737,954.18
  5. Step 5: Solve for x
    x = 16,737,954.18/4,884.52
  6. Step 6: Final answer
    x = 3,426.73

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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.