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Finding the Fourth Proportional to 5,644.75, 8,457.99 and 3,446.80

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Solution

The fourth proportional to 5,644.75, 8,457.99 and 3,446.80 is: 5,164.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.75 : 8,457.99 = 3,446.80 : x
  2. Step 2: Convert to fraction form
    5,644.75/8,457.99 = 3,446.80/x
  3. Step 3: Cross multiply
    5,644.75x = 8,457.99 × 3,446.80
  4. Step 4: Simplify right side
    5,644.75x = 29,152,999.93
  5. Step 5: Solve for x
    x = 29,152,999.93/5,644.75
  6. Step 6: Final answer
    x = 5,164.62

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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.