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Finding the Fourth Proportional to 5,932.24, 8,890.16 and 3,463.66

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Solution

The fourth proportional to 5,932.24, 8,890.16 and 3,463.66 is: 5,190.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,932.24 : 8,890.16 = 3,463.66 : x
  2. Step 2: Convert to fraction form
    5,932.24/8,890.16 = 3,463.66/x
  3. Step 3: Cross multiply
    5,932.24x = 8,890.16 × 3,463.66
  4. Step 4: Simplify right side
    5,932.24x = 30,792,485.38
  5. Step 5: Solve for x
    x = 30,792,485.38/5,932.24
  6. Step 6: Final answer
    x = 5,190.70

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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.