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Finding the Fourth Proportional to 3,188.50, 4,400.34 and 2,009.82

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Solution

The fourth proportional to 3,188.50, 4,400.34 and 2,009.82 is: 2,773.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.50 : 4,400.34 = 2,009.82 : x
  2. Step 2: Convert to fraction form
    3,188.50/4,400.34 = 2,009.82/x
  3. Step 3: Cross multiply
    3,188.50x = 4,400.34 × 2,009.82
  4. Step 4: Simplify right side
    3,188.50x = 8,843,891.34
  5. Step 5: Solve for x
    x = 8,843,891.34/3,188.50
  6. Step 6: Final answer
    x = 2,773.68

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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.