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Finding the Fourth Proportional to 5,754.38, 8,624.34 and 2,463.62

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Solution

The fourth proportional to 5,754.38, 8,624.34 and 2,463.62 is: 3,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.38 : 8,624.34 = 2,463.62 : x
  2. Step 2: Convert to fraction form
    5,754.38/8,624.34 = 2,463.62/x
  3. Step 3: Cross multiply
    5,754.38x = 8,624.34 × 2,463.62
  4. Step 4: Simplify right side
    5,754.38x = 21,247,096.51
  5. Step 5: Solve for x
    x = 21,247,096.51/5,754.38
  6. Step 6: Final answer
    x = 3,692.33

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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.