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Finding the Fourth Proportional to 5,194.35, 7,791.62 and 1,684.34

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Solution

The fourth proportional to 5,194.35, 7,791.62 and 1,684.34 is: 2,526.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.35 : 7,791.62 = 1,684.34 : x
  2. Step 2: Convert to fraction form
    5,194.35/7,791.62 = 1,684.34/x
  3. Step 3: Cross multiply
    5,194.35x = 7,791.62 × 1,684.34
  4. Step 4: Simplify right side
    5,194.35x = 13,123,758.82
  5. Step 5: Solve for x
    x = 13,123,758.82/5,194.35
  6. Step 6: Final answer
    x = 2,526.55

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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.