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Finding the Fourth Proportional to 3,930.92, 5,892.27 and 1,464.66

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Solution

The fourth proportional to 3,930.92, 5,892.27 and 1,464.66 is: 2,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,930.92 : 5,892.27 = 1,464.66 : x
  2. Step 2: Convert to fraction form
    3,930.92/5,892.27 = 1,464.66/x
  3. Step 3: Cross multiply
    3,930.92x = 5,892.27 × 1,464.66
  4. Step 4: Simplify right side
    3,930.92x = 8,630,172.18
  5. Step 5: Solve for x
    x = 8,630,172.18/3,930.92
  6. Step 6: Final answer
    x = 2,195.46

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1.5x scale

Why These Related Problems?

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