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Finding the Fourth Proportional to 5,183.22, 7,776.12 and 1,673.58

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Solution

The fourth proportional to 5,183.22, 7,776.12 and 1,673.58 is: 2,510.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.22 : 7,776.12 = 1,673.58 : x
  2. Step 2: Convert to fraction form
    5,183.22/7,776.12 = 1,673.58/x
  3. Step 3: Cross multiply
    5,183.22x = 7,776.12 × 1,673.58
  4. Step 4: Simplify right side
    5,183.22x = 13,013,958.91
  5. Step 5: Solve for x
    x = 13,013,958.91/5,183.22
  6. Step 6: Final answer
    x = 2,510.79

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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.