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Finding the Fourth Proportional to 5,256.56, 7,256.97 and 3,838.83

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Solution

The fourth proportional to 5,256.56, 7,256.97 and 3,838.83 is: 5,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.56 : 7,256.97 = 3,838.83 : x
  2. Step 2: Convert to fraction form
    5,256.56/7,256.97 = 3,838.83/x
  3. Step 3: Cross multiply
    5,256.56x = 7,256.97 × 3,838.83
  4. Step 4: Simplify right side
    5,256.56x = 27,858,274.15
  5. Step 5: Solve for x
    x = 27,858,274.15/5,256.56
  6. Step 6: Final answer
    x = 5,299.72

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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.