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Finding the Fourth Proportional to 3,463.94, 5,192.71 and 1,383.44

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Solution

The fourth proportional to 3,463.94, 5,192.71 and 1,383.44 is: 2,073.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.94 : 5,192.71 = 1,383.44 : x
  2. Step 2: Convert to fraction form
    3,463.94/5,192.71 = 1,383.44/x
  3. Step 3: Cross multiply
    3,463.94x = 5,192.71 × 1,383.44
  4. Step 4: Simplify right side
    3,463.94x = 7,183,802.72
  5. Step 5: Solve for x
    x = 7,183,802.72/3,463.94
  6. Step 6: Final answer
    x = 2,073.88

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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.