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Finding the Fourth Proportional to 5,688.28, 7,849.83 and 3,170.33

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Solution

The fourth proportional to 5,688.28, 7,849.83 and 3,170.33 is: 4,375.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,688.28 : 7,849.83 = 3,170.33 : x
  2. Step 2: Convert to fraction form
    5,688.28/7,849.83 = 3,170.33/x
  3. Step 3: Cross multiply
    5,688.28x = 7,849.83 × 3,170.33
  4. Step 4: Simplify right side
    5,688.28x = 24,886,583.06
  5. Step 5: Solve for x
    x = 24,886,583.06/5,688.28
  6. Step 6: Final answer
    x = 4,375.06

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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.