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Finding the Fourth Proportional to 5,713.61, 7,885.10 and 3,195.69

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Solution

The fourth proportional to 5,713.61, 7,885.10 and 3,195.69 is: 4,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.61 : 7,885.10 = 3,195.69 : x
  2. Step 2: Convert to fraction form
    5,713.61/7,885.10 = 3,195.69/x
  3. Step 3: Cross multiply
    5,713.61x = 7,885.10 × 3,195.69
  4. Step 4: Simplify right side
    5,713.61x = 25,198,319.24
  5. Step 5: Solve for x
    x = 25,198,319.24/5,713.61
  6. Step 6: Final answer
    x = 4,410.23

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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.