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Finding the Fourth Proportional to 3,471.98, 5,208.51 and 1,162.94

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Solution

The fourth proportional to 3,471.98, 5,208.51 and 1,162.94 is: 1,744.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.98 : 5,208.51 = 1,162.94 : x
  2. Step 2: Convert to fraction form
    3,471.98/5,208.51 = 1,162.94/x
  3. Step 3: Cross multiply
    3,471.98x = 5,208.51 × 1,162.94
  4. Step 4: Simplify right side
    3,471.98x = 6,057,168.69
  5. Step 5: Solve for x
    x = 6,057,168.69/3,471.98
  6. Step 6: Final answer
    x = 1,744.59

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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.