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Finding the Fourth Proportional to 5,463.72, 7,546.91 and 4,523.31

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Solution

The fourth proportional to 5,463.72, 7,546.91 and 4,523.31 is: 6,247.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.72 : 7,546.91 = 4,523.31 : x
  2. Step 2: Convert to fraction form
    5,463.72/7,546.91 = 4,523.31/x
  3. Step 3: Cross multiply
    5,463.72x = 7,546.91 × 4,523.31
  4. Step 4: Simplify right side
    5,463.72x = 34,136,990.86
  5. Step 5: Solve for x
    x = 34,136,990.86/5,463.72
  6. Step 6: Final answer
    x = 6,247.94

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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.