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Finding the Fourth Proportional to 3,782.25, 5,215.05 and 2,666.88

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Solution

The fourth proportional to 3,782.25, 5,215.05 and 2,666.88 is: 3,677.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.25 : 5,215.05 = 2,666.88 : x
  2. Step 2: Convert to fraction form
    3,782.25/5,215.05 = 2,666.88/x
  3. Step 3: Cross multiply
    3,782.25x = 5,215.05 × 2,666.88
  4. Step 4: Simplify right side
    3,782.25x = 13,907,912.54
  5. Step 5: Solve for x
    x = 13,907,912.54/3,782.25
  6. Step 6: Final answer
    x = 3,677.15

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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.