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Finding the Fourth Proportional to 3,687.91, 5,089.47 and 2,009.41

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Solution

The fourth proportional to 3,687.91, 5,089.47 and 2,009.41 is: 2,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.91 : 5,089.47 = 2,009.41 : x
  2. Step 2: Convert to fraction form
    3,687.91/5,089.47 = 2,009.41/x
  3. Step 3: Cross multiply
    3,687.91x = 5,089.47 × 2,009.41
  4. Step 4: Simplify right side
    3,687.91x = 10,226,811.65
  5. Step 5: Solve for x
    x = 10,226,811.65/3,687.91
  6. Step 6: Final answer
    x = 2,773.07

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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.