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Finding the Fourth Proportional to 4,933.38, 7,411.56 and 4,667.97

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Solution

The fourth proportional to 4,933.38, 7,411.56 and 4,667.97 is: 7,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,933.38 : 7,411.56 = 4,667.97 : x
  2. Step 2: Convert to fraction form
    4,933.38/7,411.56 = 4,667.97/x
  3. Step 3: Cross multiply
    4,933.38x = 7,411.56 × 4,667.97
  4. Step 4: Simplify right side
    4,933.38x = 34,596,939.73
  5. Step 5: Solve for x
    x = 34,596,939.73/4,933.38
  6. Step 6: Final answer
    x = 7,012.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.