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Finding the Fourth Proportional to 5,446.28, 8,168.31 and 1,549.64

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Solution

The fourth proportional to 5,446.28, 8,168.31 and 1,549.64 is: 2,324.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,446.28 : 8,168.31 = 1,549.64 : x
  2. Step 2: Convert to fraction form
    5,446.28/8,168.31 = 1,549.64/x
  3. Step 3: Cross multiply
    5,446.28x = 8,168.31 × 1,549.64
  4. Step 4: Simplify right side
    5,446.28x = 12,657,939.91
  5. Step 5: Solve for x
    x = 12,657,939.91/5,446.28
  6. Step 6: Final answer
    x = 2,324.14

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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.