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Finding the Fourth Proportional to 6,941.38, 9,579.18 and 3,797.50

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Solution

The fourth proportional to 6,941.38, 9,579.18 and 3,797.50 is: 5,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.38 : 9,579.18 = 3,797.50 : x
  2. Step 2: Convert to fraction form
    6,941.38/9,579.18 = 3,797.50/x
  3. Step 3: Cross multiply
    6,941.38x = 9,579.18 × 3,797.50
  4. Step 4: Simplify right side
    6,941.38x = 36,376,936.05
  5. Step 5: Solve for x
    x = 36,376,936.05/6,941.38
  6. Step 6: Final answer
    x = 5,240.59

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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.