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Finding the Fourth Proportional to 3,523.94, 4,863.07 and 1,952.07

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Solution

The fourth proportional to 3,523.94, 4,863.07 and 1,952.07 is: 2,693.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.94 : 4,863.07 = 1,952.07 : x
  2. Step 2: Convert to fraction form
    3,523.94/4,863.07 = 1,952.07/x
  3. Step 3: Cross multiply
    3,523.94x = 4,863.07 × 1,952.07
  4. Step 4: Simplify right side
    3,523.94x = 9,493,053.05
  5. Step 5: Solve for x
    x = 9,493,053.05/3,523.94
  6. Step 6: Final answer
    x = 2,693.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.