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Finding the Fourth Proportional to 5,552.40, 7,661.88 and 3,194.09

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Solution

The fourth proportional to 5,552.40, 7,661.88 and 3,194.09 is: 4,407.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,552.40 : 7,661.88 = 3,194.09 : x
  2. Step 2: Convert to fraction form
    5,552.40/7,661.88 = 3,194.09/x
  3. Step 3: Cross multiply
    5,552.40x = 7,661.88 × 3,194.09
  4. Step 4: Simplify right side
    5,552.40x = 24,472,695.98
  5. Step 5: Solve for x
    x = 24,472,695.98/5,552.40
  6. Step 6: Final answer
    x = 4,407.59

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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.