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Finding the Fourth Proportional to 4,304.82, 5,944.82 and 3,709.78

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Solution

The fourth proportional to 4,304.82, 5,944.82 and 3,709.78 is: 5,123.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,304.82 : 5,944.82 = 3,709.78 : x
  2. Step 2: Convert to fraction form
    4,304.82/5,944.82 = 3,709.78/x
  3. Step 3: Cross multiply
    4,304.82x = 5,944.82 × 3,709.78
  4. Step 4: Simplify right side
    4,304.82x = 22,053,974.34
  5. Step 5: Solve for x
    x = 22,053,974.34/4,304.82
  6. Step 6: Final answer
    x = 5,123.09

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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.