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Finding the Fourth Proportional to 3,467.44, 4,781.46 and 2,287

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Solution

The fourth proportional to 3,467.44, 4,781.46 and 2,287 is: 3,153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.44 : 4,781.46 = 2,287 : x
  2. Step 2: Convert to fraction form
    3,467.44/4,781.46 = 2,287/x
  3. Step 3: Cross multiply
    3,467.44x = 4,781.46 × 2,287
  4. Step 4: Simplify right side
    3,467.44x = 10,935,199.02
  5. Step 5: Solve for x
    x = 10,935,199.02/3,467.44
  6. Step 6: Final answer
    x = 3,153.68

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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.