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Finding the Fourth Proportional to 3,786.64, 5,225.50 and 2,107.92

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Solution

The fourth proportional to 3,786.64, 5,225.50 and 2,107.92 is: 2,908.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.64 : 5,225.50 = 2,107.92 : x
  2. Step 2: Convert to fraction form
    3,786.64/5,225.50 = 2,107.92/x
  3. Step 3: Cross multiply
    3,786.64x = 5,225.50 × 2,107.92
  4. Step 4: Simplify right side
    3,786.64x = 11,014,935.96
  5. Step 5: Solve for x
    x = 11,014,935.96/3,786.64
  6. Step 6: Final answer
    x = 2,908.89

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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.