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Finding the Fourth Proportional to 5,388.81, 7,434.10 and 3,894.36

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Solution

The fourth proportional to 5,388.81, 7,434.10 and 3,894.36 is: 5,372.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,388.81 : 7,434.10 = 3,894.36 : x
  2. Step 2: Convert to fraction form
    5,388.81/7,434.10 = 3,894.36/x
  3. Step 3: Cross multiply
    5,388.81x = 7,434.10 × 3,894.36
  4. Step 4: Simplify right side
    5,388.81x = 28,951,061.68
  5. Step 5: Solve for x
    x = 28,951,061.68/5,388.81
  6. Step 6: Final answer
    x = 5,372.44

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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.