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Finding the Fourth Proportional to 3,644.62, 5,029.58 and 2,072.82

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Solution

The fourth proportional to 3,644.62, 5,029.58 and 2,072.82 is: 2,860.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.62 : 5,029.58 = 2,072.82 : x
  2. Step 2: Convert to fraction form
    3,644.62/5,029.58 = 2,072.82/x
  3. Step 3: Cross multiply
    3,644.62x = 5,029.58 × 2,072.82
  4. Step 4: Simplify right side
    3,644.62x = 10,425,414.02
  5. Step 5: Solve for x
    x = 10,425,414.02/3,644.62
  6. Step 6: Final answer
    x = 2,860.49

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1.5x scale

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.