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Finding the Fourth Proportional to 3,786.90, 5,225.87 and 2,193.77

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Solution

The fourth proportional to 3,786.90, 5,225.87 and 2,193.77 is: 3,027.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.90 : 5,225.87 = 2,193.77 : x
  2. Step 2: Convert to fraction form
    3,786.90/5,225.87 = 2,193.77/x
  3. Step 3: Cross multiply
    3,786.90x = 5,225.87 × 2,193.77
  4. Step 4: Simplify right side
    3,786.90x = 11,464,336.18
  5. Step 5: Solve for x
    x = 11,464,336.18/3,786.90
  6. Step 6: Final answer
    x = 3,027.37

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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.