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Finding the Fourth Proportional to 5,974.92, 8,247.24 and 3,586.62

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Solution

The fourth proportional to 5,974.92, 8,247.24 and 3,586.62 is: 4,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.92 : 8,247.24 = 3,586.62 : x
  2. Step 2: Convert to fraction form
    5,974.92/8,247.24 = 3,586.62/x
  3. Step 3: Cross multiply
    5,974.92x = 8,247.24 × 3,586.62
  4. Step 4: Simplify right side
    5,974.92x = 29,579,715.93
  5. Step 5: Solve for x
    x = 29,579,715.93/5,974.92
  6. Step 6: Final answer
    x = 4,950.65

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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.