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Finding the Fourth Proportional to 3,970.28, 5,505.17 and 3,838.56

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Solution

The fourth proportional to 3,970.28, 5,505.17 and 3,838.56 is: 5,322.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.28 : 5,505.17 = 3,838.56 : x
  2. Step 2: Convert to fraction form
    3,970.28/5,505.17 = 3,838.56/x
  3. Step 3: Cross multiply
    3,970.28x = 5,505.17 × 3,838.56
  4. Step 4: Simplify right side
    3,970.28x = 21,131,931.97
  5. Step 5: Solve for x
    x = 21,131,931.97/3,970.28
  6. Step 6: Final answer
    x = 5,322.53

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.