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Finding the Fourth Proportional to 5,183.98, 7,776.36 and 2,552.90

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Solution

The fourth proportional to 5,183.98, 7,776.36 and 2,552.90 is: 3,829.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.98 : 7,776.36 = 2,552.90 : x
  2. Step 2: Convert to fraction form
    5,183.98/7,776.36 = 2,552.90/x
  3. Step 3: Cross multiply
    5,183.98x = 7,776.36 × 2,552.90
  4. Step 4: Simplify right side
    5,183.98x = 19,852,269.44
  5. Step 5: Solve for x
    x = 19,852,269.44/5,183.98
  6. Step 6: Final answer
    x = 3,829.54

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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.