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Finding the Fourth Proportional to 5,541.56, 7,647.16 and 3,183.64

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Solution

The fourth proportional to 5,541.56, 7,647.16 and 3,183.64 is: 4,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.56 : 7,647.16 = 3,183.64 : x
  2. Step 2: Convert to fraction form
    5,541.56/7,647.16 = 3,183.64/x
  3. Step 3: Cross multiply
    5,541.56x = 7,647.16 × 3,183.64
  4. Step 4: Simplify right side
    5,541.56x = 24,345,804.46
  5. Step 5: Solve for x
    x = 24,345,804.46/5,541.56
  6. Step 6: Final answer
    x = 4,393.31

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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.