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Finding the Fourth Proportional to 5,541.40, 7,646.97 and 3,183.49

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Solution

The fourth proportional to 5,541.40, 7,646.97 and 3,183.49 is: 4,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.40 : 7,646.97 = 3,183.49 : x
  2. Step 2: Convert to fraction form
    5,541.40/7,646.97 = 3,183.49/x
  3. Step 3: Cross multiply
    5,541.40x = 7,646.97 × 3,183.49
  4. Step 4: Simplify right side
    5,541.40x = 24,344,052.53
  5. Step 5: Solve for x
    x = 24,344,052.53/5,541.40
  6. Step 6: Final answer
    x = 4,393.12

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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.