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Finding the Fourth Proportional to 3,957.50, 5,936.26 and 1,649

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Solution

The fourth proportional to 3,957.50, 5,936.26 and 1,649 is: 2,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,957.50 : 5,936.26 = 1,649 : x
  2. Step 2: Convert to fraction form
    3,957.50/5,936.26 = 1,649/x
  3. Step 3: Cross multiply
    3,957.50x = 5,936.26 × 1,649
  4. Step 4: Simplify right side
    3,957.50x = 9,788,892.74
  5. Step 5: Solve for x
    x = 9,788,892.74/3,957.50
  6. Step 6: Final answer
    x = 2,473.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.