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Finding the Fourth Proportional to 3,836.47, 5,293.47 and 2,263.72

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Solution

The fourth proportional to 3,836.47, 5,293.47 and 2,263.72 is: 3,123.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.47 : 5,293.47 = 2,263.72 : x
  2. Step 2: Convert to fraction form
    3,836.47/5,293.47 = 2,263.72/x
  3. Step 3: Cross multiply
    3,836.47x = 5,293.47 × 2,263.72
  4. Step 4: Simplify right side
    3,836.47x = 11,982,933.91
  5. Step 5: Solve for x
    x = 11,982,933.91/3,836.47
  6. Step 6: Final answer
    x = 3,123.43

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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.