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Finding the Fourth Proportional to 3,866.20, 5,336.66 and 2,606.44

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Solution

The fourth proportional to 3,866.20, 5,336.66 and 2,606.44 is: 3,597.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.20 : 5,336.66 = 2,606.44 : x
  2. Step 2: Convert to fraction form
    3,866.20/5,336.66 = 2,606.44/x
  3. Step 3: Cross multiply
    3,866.20x = 5,336.66 × 2,606.44
  4. Step 4: Simplify right side
    3,866.20x = 13,909,684.09
  5. Step 5: Solve for x
    x = 13,909,684.09/3,866.20
  6. Step 6: Final answer
    x = 3,597.77

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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.