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Finding the Fourth Proportional to 5,914.50, 8,861.58 and 3,717.78

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Solution

The fourth proportional to 5,914.50, 8,861.58 and 3,717.78 is: 5,570.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.50 : 8,861.58 = 3,717.78 : x
  2. Step 2: Convert to fraction form
    5,914.50/8,861.58 = 3,717.78/x
  3. Step 3: Cross multiply
    5,914.50x = 8,861.58 × 3,717.78
  4. Step 4: Simplify right side
    5,914.50x = 32,945,404.89
  5. Step 5: Solve for x
    x = 32,945,404.89/5,914.50
  6. Step 6: Final answer
    x = 5,570.28

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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.