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Finding the Fourth Proportional to 5,705.34, 8,557.72 and 2,194.68

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Solution

The fourth proportional to 5,705.34, 8,557.72 and 2,194.68 is: 3,291.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,705.34 : 8,557.72 = 2,194.68 : x
  2. Step 2: Convert to fraction form
    5,705.34/8,557.72 = 2,194.68/x
  3. Step 3: Cross multiply
    5,705.34x = 8,557.72 × 2,194.68
  4. Step 4: Simplify right side
    5,705.34x = 18,781,456.93
  5. Step 5: Solve for x
    x = 18,781,456.93/5,705.34
  6. Step 6: Final answer
    x = 3,291.91

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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.