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Finding the Fourth Proportional to 3,687.84, 5,089.24 and 2,009.26

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Solution

The fourth proportional to 3,687.84, 5,089.24 and 2,009.26 is: 2,772.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.84 : 5,089.24 = 2,009.26 : x
  2. Step 2: Convert to fraction form
    3,687.84/5,089.24 = 2,009.26/x
  3. Step 3: Cross multiply
    3,687.84x = 5,089.24 × 2,009.26
  4. Step 4: Simplify right side
    3,687.84x = 10,225,606.36
  5. Step 5: Solve for x
    x = 10,225,606.36/3,687.84
  6. Step 6: Final answer
    x = 2,772.79

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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.