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Finding the Fourth Proportional to 4,202.70, 6,309.50 and 2,970.69

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Solution

The fourth proportional to 4,202.70, 6,309.50 and 2,970.69 is: 4,459.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,202.70 : 6,309.50 = 2,970.69 : x
  2. Step 2: Convert to fraction form
    4,202.70/6,309.50 = 2,970.69/x
  3. Step 3: Cross multiply
    4,202.70x = 6,309.50 × 2,970.69
  4. Step 4: Simplify right side
    4,202.70x = 18,743,553.70
  5. Step 5: Solve for x
    x = 18,743,553.70/4,202.70
  6. Step 6: Final answer
    x = 4,459.88

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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.