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Finding the Fourth Proportional to 3,786.65, 5,225.81 and 2,108.43

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Solution

The fourth proportional to 3,786.65, 5,225.81 and 2,108.43 is: 2,909.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.65 : 5,225.81 = 2,108.43 : x
  2. Step 2: Convert to fraction form
    3,786.65/5,225.81 = 2,108.43/x
  3. Step 3: Cross multiply
    3,786.65x = 5,225.81 × 2,108.43
  4. Step 4: Simplify right side
    3,786.65x = 11,018,244.04
  5. Step 5: Solve for x
    x = 11,018,244.04/3,786.65
  6. Step 6: Final answer
    x = 2,909.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.