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Finding the Fourth Proportional to 3,715, 5,126.70 and 2,059

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Solution

The fourth proportional to 3,715, 5,126.70 and 2,059 is: 2,841.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,715 : 5,126.70 = 2,059 : x
  2. Step 2: Convert to fraction form
    3,715/5,126.70 = 2,059/x
  3. Step 3: Cross multiply
    3,715x = 5,126.70 × 2,059
  4. Step 4: Simplify right side
    3,715x = 10,555,875.30
  5. Step 5: Solve for x
    x = 10,555,875.30/3,715
  6. Step 6: Final answer
    x = 2,841.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.