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Finding the Fourth Proportional to 3,693.54, 5,101.20 and 2,864.27

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Solution

The fourth proportional to 3,693.54, 5,101.20 and 2,864.27 is: 3,955.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.54 : 5,101.20 = 2,864.27 : x
  2. Step 2: Convert to fraction form
    3,693.54/5,101.20 = 2,864.27/x
  3. Step 3: Cross multiply
    3,693.54x = 5,101.20 × 2,864.27
  4. Step 4: Simplify right side
    3,693.54x = 14,611,188.62
  5. Step 5: Solve for x
    x = 14,611,188.62/3,693.54
  6. Step 6: Final answer
    x = 3,955.88

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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.