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Finding the Fourth Proportional to 3,496.82, 4,823.08 and 2,375.80

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Solution

The fourth proportional to 3,496.82, 4,823.08 and 2,375.80 is: 3,276.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.82 : 4,823.08 = 2,375.80 : x
  2. Step 2: Convert to fraction form
    3,496.82/4,823.08 = 2,375.80/x
  3. Step 3: Cross multiply
    3,496.82x = 4,823.08 × 2,375.80
  4. Step 4: Simplify right side
    3,496.82x = 11,458,673.46
  5. Step 5: Solve for x
    x = 11,458,673.46/3,496.82
  6. Step 6: Final answer
    x = 3,276.88

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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.