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Finding the Fourth Proportional to 3,473.68, 5,229.28 and 3,172.36

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Solution

The fourth proportional to 3,473.68, 5,229.28 and 3,172.36 is: 4,775.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.68 : 5,229.28 = 3,172.36 : x
  2. Step 2: Convert to fraction form
    3,473.68/5,229.28 = 3,172.36/x
  3. Step 3: Cross multiply
    3,473.68x = 5,229.28 × 3,172.36
  4. Step 4: Simplify right side
    3,473.68x = 16,589,158.70
  5. Step 5: Solve for x
    x = 16,589,158.70/3,473.68
  6. Step 6: Final answer
    x = 4,775.67

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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.