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Finding the Fourth Proportional to 3,478.62, 4,796.19 and 2,297.82

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Solution

The fourth proportional to 3,478.62, 4,796.19 and 2,297.82 is: 3,168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.62 : 4,796.19 = 2,297.82 : x
  2. Step 2: Convert to fraction form
    3,478.62/4,796.19 = 2,297.82/x
  3. Step 3: Cross multiply
    3,478.62x = 4,796.19 × 2,297.82
  4. Step 4: Simplify right side
    3,478.62x = 11,020,781.31
  5. Step 5: Solve for x
    x = 11,020,781.31/3,478.62
  6. Step 6: Final answer
    x = 3,168.15

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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.