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Finding the Fourth Proportional to 5,584.11, 7,705.71 and 3,194.34

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Solution

The fourth proportional to 5,584.11, 7,705.71 and 3,194.34 is: 4,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.11 : 7,705.71 = 3,194.34 : x
  2. Step 2: Convert to fraction form
    5,584.11/7,705.71 = 3,194.34/x
  3. Step 3: Cross multiply
    5,584.11x = 7,705.71 × 3,194.34
  4. Step 4: Simplify right side
    5,584.11x = 24,614,657.68
  5. Step 5: Solve for x
    x = 24,614,657.68/5,584.11
  6. Step 6: Final answer
    x = 4,407.98

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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.