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Finding the Fourth Proportional to 5,106.37, 7,655.97 and 2,608.31

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Solution

The fourth proportional to 5,106.37, 7,655.97 and 2,608.31 is: 3,910.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.37 : 7,655.97 = 2,608.31 : x
  2. Step 2: Convert to fraction form
    5,106.37/7,655.97 = 2,608.31/x
  3. Step 3: Cross multiply
    5,106.37x = 7,655.97 × 2,608.31
  4. Step 4: Simplify right side
    5,106.37x = 19,969,135.83
  5. Step 5: Solve for x
    x = 19,969,135.83/5,106.37
  6. Step 6: Final answer
    x = 3,910.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.