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Finding the Fourth Proportional to 6,902.10, 9,524.89 and 3,758.29

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Solution

The fourth proportional to 6,902.10, 9,524.89 and 3,758.29 is: 5,186.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.10 : 9,524.89 = 3,758.29 : x
  2. Step 2: Convert to fraction form
    6,902.10/9,524.89 = 3,758.29/x
  3. Step 3: Cross multiply
    6,902.10x = 9,524.89 × 3,758.29
  4. Step 4: Simplify right side
    6,902.10x = 35,797,298.84
  5. Step 5: Solve for x
    x = 35,797,298.84/6,902.10
  6. Step 6: Final answer
    x = 5,186.44

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