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Finding the Fourth Proportional to 3,471.68, 5,226.28 and 3,170.36

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Solution

The fourth proportional to 3,471.68, 5,226.28 and 3,170.36 is: 4,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.68 : 5,226.28 = 3,170.36 : x
  2. Step 2: Convert to fraction form
    3,471.68/5,226.28 = 3,170.36/x
  3. Step 3: Cross multiply
    3,471.68x = 5,226.28 × 3,170.36
  4. Step 4: Simplify right side
    3,471.68x = 16,569,189.06
  5. Step 5: Solve for x
    x = 16,569,189.06/3,471.68
  6. Step 6: Final answer
    x = 4,772.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.