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Finding the Fourth Proportional to 3,866.31, 5,333.78 and 2,606.96

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Solution

The fourth proportional to 3,866.31, 5,333.78 and 2,606.96 is: 3,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.31 : 5,333.78 = 2,606.96 : x
  2. Step 2: Convert to fraction form
    3,866.31/5,333.78 = 2,606.96/x
  3. Step 3: Cross multiply
    3,866.31x = 5,333.78 × 2,606.96
  4. Step 4: Simplify right side
    3,866.31x = 13,904,911.41
  5. Step 5: Solve for x
    x = 13,904,911.41/3,866.31
  6. Step 6: Final answer
    x = 3,596.43

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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.