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Finding the Fourth Proportional to 4,983.92, 7,474.44 and 1,520

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Solution

The fourth proportional to 4,983.92, 7,474.44 and 1,520 is: 2,279.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.92 : 7,474.44 = 1,520 : x
  2. Step 2: Convert to fraction form
    4,983.92/7,474.44 = 1,520/x
  3. Step 3: Cross multiply
    4,983.92x = 7,474.44 × 1,520
  4. Step 4: Simplify right side
    4,983.92x = 11,361,148.80
  5. Step 5: Solve for x
    x = 11,361,148.80/4,983.92
  6. Step 6: Final answer
    x = 2,279.56

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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.