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Finding the Fourth Proportional to 5,497.30, 8,247.12 and 1,601.38

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Solution

The fourth proportional to 5,497.30, 8,247.12 and 1,601.38 is: 2,402.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.30 : 8,247.12 = 1,601.38 : x
  2. Step 2: Convert to fraction form
    5,497.30/8,247.12 = 1,601.38/x
  3. Step 3: Cross multiply
    5,497.30x = 8,247.12 × 1,601.38
  4. Step 4: Simplify right side
    5,497.30x = 13,206,773.03
  5. Step 5: Solve for x
    x = 13,206,773.03/5,497.30
  6. Step 6: Final answer
    x = 2,402.41

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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.