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Finding the Fourth Proportional to 3,713.70, 5,570.72 and 2,069

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Solution

The fourth proportional to 3,713.70, 5,570.72 and 2,069 is: 3,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.70 : 5,570.72 = 2,069 : x
  2. Step 2: Convert to fraction form
    3,713.70/5,570.72 = 2,069/x
  3. Step 3: Cross multiply
    3,713.70x = 5,570.72 × 2,069
  4. Step 4: Simplify right side
    3,713.70x = 11,525,819.68
  5. Step 5: Solve for x
    x = 11,525,819.68/3,713.70
  6. Step 6: Final answer
    x = 3,103.59

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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.