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Finding the Fourth Proportional to 5,586.72, 8,382.24 and 2,508

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Solution

The fourth proportional to 5,586.72, 8,382.24 and 2,508 is: 3,762.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.72 : 8,382.24 = 2,508 : x
  2. Step 2: Convert to fraction form
    5,586.72/8,382.24 = 2,508/x
  3. Step 3: Cross multiply
    5,586.72x = 8,382.24 × 2,508
  4. Step 4: Simplify right side
    5,586.72x = 21,022,657.92
  5. Step 5: Solve for x
    x = 21,022,657.92/5,586.72
  6. Step 6: Final answer
    x = 3,762.97

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Why These Related Problems?

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