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Finding the Fourth Proportional to 6,898.52, 9,519.96 and 3,754.70

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Solution

The fourth proportional to 6,898.52, 9,519.96 and 3,754.70 is: 5,181.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,898.52 : 9,519.96 = 3,754.70 : x
  2. Step 2: Convert to fraction form
    6,898.52/9,519.96 = 3,754.70/x
  3. Step 3: Cross multiply
    6,898.52x = 9,519.96 × 3,754.70
  4. Step 4: Simplify right side
    6,898.52x = 35,744,593.81
  5. Step 5: Solve for x
    x = 35,744,593.81/6,898.52
  6. Step 6: Final answer
    x = 5,181.49

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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.