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Finding the Fourth Proportional to 3,462.69, 5,195.25 and 2,162.64

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Solution

The fourth proportional to 3,462.69, 5,195.25 and 2,162.64 is: 3,244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.69 : 5,195.25 = 2,162.64 : x
  2. Step 2: Convert to fraction form
    3,462.69/5,195.25 = 2,162.64/x
  3. Step 3: Cross multiply
    3,462.69x = 5,195.25 × 2,162.64
  4. Step 4: Simplify right side
    3,462.69x = 11,235,455.46
  5. Step 5: Solve for x
    x = 11,235,455.46/3,462.69
  6. Step 6: Final answer
    x = 3,244.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.