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Finding the Fourth Proportional to 5,703.92, 7,871.33 and 3,186.07

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Solution

The fourth proportional to 5,703.92, 7,871.33 and 3,186.07 is: 4,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,703.92 : 7,871.33 = 3,186.07 : x
  2. Step 2: Convert to fraction form
    5,703.92/7,871.33 = 3,186.07/x
  3. Step 3: Cross multiply
    5,703.92x = 7,871.33 × 3,186.07
  4. Step 4: Simplify right side
    5,703.92x = 25,078,586.12
  5. Step 5: Solve for x
    x = 25,078,586.12/5,703.92
  6. Step 6: Final answer
    x = 4,396.73

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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.