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Finding the Fourth Proportional to 5,183.45, 7,772.84 and 1,484.84

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Solution

The fourth proportional to 5,183.45, 7,772.84 and 1,484.84 is: 2,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.45 : 7,772.84 = 1,484.84 : x
  2. Step 2: Convert to fraction form
    5,183.45/7,772.84 = 1,484.84/x
  3. Step 3: Cross multiply
    5,183.45x = 7,772.84 × 1,484.84
  4. Step 4: Simplify right side
    5,183.45x = 11,541,377.46
  5. Step 5: Solve for x
    x = 11,541,377.46/5,183.45
  6. Step 6: Final answer
    x = 2,226.58

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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.