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Finding the Fourth Proportional to 5,662.09, 8,493.13 and 3,713.84

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Solution

The fourth proportional to 5,662.09, 8,493.13 and 3,713.84 is: 5,570.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.09 : 8,493.13 = 3,713.84 : x
  2. Step 2: Convert to fraction form
    5,662.09/8,493.13 = 3,713.84/x
  3. Step 3: Cross multiply
    5,662.09x = 8,493.13 × 3,713.84
  4. Step 4: Simplify right side
    5,662.09x = 31,542,119.95
  5. Step 5: Solve for x
    x = 31,542,119.95/5,662.09
  6. Step 6: Final answer
    x = 5,570.75

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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.