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Finding the Fourth Proportional to 3,687.82, 5,089.13 and 2,009.24

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Solution

The fourth proportional to 3,687.82, 5,089.13 and 2,009.24 is: 2,772.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.82 : 5,089.13 = 2,009.24 : x
  2. Step 2: Convert to fraction form
    3,687.82/5,089.13 = 2,009.24/x
  3. Step 3: Cross multiply
    3,687.82x = 5,089.13 × 2,009.24
  4. Step 4: Simplify right side
    3,687.82x = 10,225,298.49
  5. Step 5: Solve for x
    x = 10,225,298.49/3,687.82
  6. Step 6: Final answer
    x = 2,772.72

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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.