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Finding the Fourth Proportional to 5,744.70, 8,614.17 and 3,145.50

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Solution

The fourth proportional to 5,744.70, 8,614.17 and 3,145.50 is: 4,716.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.70 : 8,614.17 = 3,145.50 : x
  2. Step 2: Convert to fraction form
    5,744.70/8,614.17 = 3,145.50/x
  3. Step 3: Cross multiply
    5,744.70x = 8,614.17 × 3,145.50
  4. Step 4: Simplify right side
    5,744.70x = 27,095,871.74
  5. Step 5: Solve for x
    x = 27,095,871.74/5,744.70
  6. Step 6: Final answer
    x = 4,716.67

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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.