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Finding the Fourth Proportional to 5,704.13, 8,549.92 and 3,728.95

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Solution

The fourth proportional to 5,704.13, 8,549.92 and 3,728.95 is: 5,589.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.13 : 8,549.92 = 3,728.95 : x
  2. Step 2: Convert to fraction form
    5,704.13/8,549.92 = 3,728.95/x
  3. Step 3: Cross multiply
    5,704.13x = 8,549.92 × 3,728.95
  4. Step 4: Simplify right side
    5,704.13x = 31,882,207.47
  5. Step 5: Solve for x
    x = 31,882,207.47/5,704.13
  6. Step 6: Final answer
    x = 5,589.32

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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.