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Finding the Fourth Proportional to 5,734.33, 8,605.17 and 4,327.36

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Solution

The fourth proportional to 5,734.33, 8,605.17 and 4,327.36 is: 6,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,734.33 : 8,605.17 = 4,327.36 : x
  2. Step 2: Convert to fraction form
    5,734.33/8,605.17 = 4,327.36/x
  3. Step 3: Cross multiply
    5,734.33x = 8,605.17 × 4,327.36
  4. Step 4: Simplify right side
    5,734.33x = 37,237,646.94
  5. Step 5: Solve for x
    x = 37,237,646.94/5,734.33
  6. Step 6: Final answer
    x = 6,493.81

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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.