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Finding the Fourth Proportional to 3,967.43, 5,473.80 and 2,288.61

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Solution

The fourth proportional to 3,967.43, 5,473.80 and 2,288.61 is: 3,157.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.43 : 5,473.80 = 2,288.61 : x
  2. Step 2: Convert to fraction form
    3,967.43/5,473.80 = 2,288.61/x
  3. Step 3: Cross multiply
    3,967.43x = 5,473.80 × 2,288.61
  4. Step 4: Simplify right side
    3,967.43x = 12,527,393.42
  5. Step 5: Solve for x
    x = 12,527,393.42/3,967.43
  6. Step 6: Final answer
    x = 3,157.56

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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.