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Finding the Fourth Proportional to 3,581.07, 4,940.86 and 2,322.17

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Solution

The fourth proportional to 3,581.07, 4,940.86 and 2,322.17 is: 3,203.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,581.07 : 4,940.86 = 2,322.17 : x
  2. Step 2: Convert to fraction form
    3,581.07/4,940.86 = 2,322.17/x
  3. Step 3: Cross multiply
    3,581.07x = 4,940.86 × 2,322.17
  4. Step 4: Simplify right side
    3,581.07x = 11,473,523.41
  5. Step 5: Solve for x
    x = 11,473,523.41/3,581.07
  6. Step 6: Final answer
    x = 3,203.94

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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.