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Finding the Fourth Proportional to 5,541, 7,645.98 and 3,183.48

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Solution

The fourth proportional to 5,541, 7,645.98 and 3,183.48 is: 4,392.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541 : 7,645.98 = 3,183.48 : x
  2. Step 2: Convert to fraction form
    5,541/7,645.98 = 3,183.48/x
  3. Step 3: Cross multiply
    5,541x = 7,645.98 × 3,183.48
  4. Step 4: Simplify right side
    5,541x = 24,340,824.41
  5. Step 5: Solve for x
    x = 24,340,824.41/5,541
  6. Step 6: Final answer
    x = 4,392.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.