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Finding the Fourth Proportional to 3,964.71, 5,946.83 and 1,499.49

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Solution

The fourth proportional to 3,964.71, 5,946.83 and 1,499.49 is: 2,249.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.71 : 5,946.83 = 1,499.49 : x
  2. Step 2: Convert to fraction form
    3,964.71/5,946.83 = 1,499.49/x
  3. Step 3: Cross multiply
    3,964.71x = 5,946.83 × 1,499.49
  4. Step 4: Simplify right side
    3,964.71x = 8,917,204.62
  5. Step 5: Solve for x
    x = 8,917,204.62/3,964.71
  6. Step 6: Final answer
    x = 2,249.14

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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.