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Finding the Fourth Proportional to 6,985.87, 9,640.69 and 3,799.38

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Solution

The fourth proportional to 6,985.87, 9,640.69 and 3,799.38 is: 5,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.87 : 9,640.69 = 3,799.38 : x
  2. Step 2: Convert to fraction form
    6,985.87/9,640.69 = 3,799.38/x
  3. Step 3: Cross multiply
    6,985.87x = 9,640.69 × 3,799.38
  4. Step 4: Simplify right side
    6,985.87x = 36,628,644.77
  5. Step 5: Solve for x
    x = 36,628,644.77/6,985.87
  6. Step 6: Final answer
    x = 5,243.25

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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.