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Finding the Fourth Proportional to 5,645.78, 8,427.51 and 5,183.54

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Solution

The fourth proportional to 5,645.78, 8,427.51 and 5,183.54 is: 7,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.78 : 8,427.51 = 5,183.54 : x
  2. Step 2: Convert to fraction form
    5,645.78/8,427.51 = 5,183.54/x
  3. Step 3: Cross multiply
    5,645.78x = 8,427.51 × 5,183.54
  4. Step 4: Simplify right side
    5,645.78x = 43,684,309.27
  5. Step 5: Solve for x
    x = 43,684,309.27/5,645.78
  6. Step 6: Final answer
    x = 7,737.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.