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Finding the Fourth Proportional to 3,786.59, 5,225.75 and 2,107.98

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Solution

The fourth proportional to 3,786.59, 5,225.75 and 2,107.98 is: 2,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.59 : 5,225.75 = 2,107.98 : x
  2. Step 2: Convert to fraction form
    3,786.59/5,225.75 = 2,107.98/x
  3. Step 3: Cross multiply
    3,786.59x = 5,225.75 × 2,107.98
  4. Step 4: Simplify right side
    3,786.59x = 11,015,765.95
  5. Step 5: Solve for x
    x = 11,015,765.95/3,786.59
  6. Step 6: Final answer
    x = 2,909.16

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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.