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Finding the Fourth Proportional to 3,657, 5,046.74 and 2,001

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Solution

The fourth proportional to 3,657, 5,046.74 and 2,001 is: 2,761.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657 : 5,046.74 = 2,001 : x
  2. Step 2: Convert to fraction form
    3,657/5,046.74 = 2,001/x
  3. Step 3: Cross multiply
    3,657x = 5,046.74 × 2,001
  4. Step 4: Simplify right side
    3,657x = 10,098,526.74
  5. Step 5: Solve for x
    x = 10,098,526.74/3,657
  6. Step 6: Final answer
    x = 2,761.42

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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.