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Finding the Fourth Proportional to 3,497.38, 4,781.34 and 3,497.38

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Solution

The fourth proportional to 3,497.38, 4,781.34 and 3,497.38 is: 4,781.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.38 : 4,781.34 = 3,497.38 : x
  2. Step 2: Convert to fraction form
    3,497.38/4,781.34 = 3,497.38/x
  3. Step 3: Cross multiply
    3,497.38x = 4,781.34 × 3,497.38
  4. Step 4: Simplify right side
    3,497.38x = 16,722,162.89
  5. Step 5: Solve for x
    x = 16,722,162.89/3,497.38
  6. Step 6: Final answer
    x = 4,781.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.