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Finding the Fourth Proportional to 5,898.96, 8,136.03 and 3,662.16

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Solution

The fourth proportional to 5,898.96, 8,136.03 and 3,662.16 is: 5,050.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.96 : 8,136.03 = 3,662.16 : x
  2. Step 2: Convert to fraction form
    5,898.96/8,136.03 = 3,662.16/x
  3. Step 3: Cross multiply
    5,898.96x = 8,136.03 × 3,662.16
  4. Step 4: Simplify right side
    5,898.96x = 29,795,443.62
  5. Step 5: Solve for x
    x = 29,795,443.62/5,898.96
  6. Step 6: Final answer
    x = 5,050.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.