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Finding the Fourth Proportional to 3,687.73, 5,089.07 and 2,009.14

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Solution

The fourth proportional to 3,687.73, 5,089.07 and 2,009.14 is: 2,772.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.73 : 5,089.07 = 2,009.14 : x
  2. Step 2: Convert to fraction form
    3,687.73/5,089.07 = 2,009.14/x
  3. Step 3: Cross multiply
    3,687.73x = 5,089.07 × 2,009.14
  4. Step 4: Simplify right side
    3,687.73x = 10,224,654.10
  5. Step 5: Solve for x
    x = 10,224,654.10/3,687.73
  6. Step 6: Final answer
    x = 2,772.61

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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.