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Finding the Fourth Proportional to 5,965.38, 8,949.70 and 2,070.09

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Solution

The fourth proportional to 5,965.38, 8,949.70 and 2,070.09 is: 3,105.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.38 : 8,949.70 = 2,070.09 : x
  2. Step 2: Convert to fraction form
    5,965.38/8,949.70 = 2,070.09/x
  3. Step 3: Cross multiply
    5,965.38x = 8,949.70 × 2,070.09
  4. Step 4: Simplify right side
    5,965.38x = 18,526,696.50
  5. Step 5: Solve for x
    x = 18,526,696.50/5,965.38
  6. Step 6: Final answer
    x = 3,105.70

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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.