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Finding the Fourth Proportional to 3,486.94, 5,227.11 and 1,294.18

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Solution

The fourth proportional to 3,486.94, 5,227.11 and 1,294.18 is: 1,940.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.94 : 5,227.11 = 1,294.18 : x
  2. Step 2: Convert to fraction form
    3,486.94/5,227.11 = 1,294.18/x
  3. Step 3: Cross multiply
    3,486.94x = 5,227.11 × 1,294.18
  4. Step 4: Simplify right side
    3,486.94x = 6,764,821.22
  5. Step 5: Solve for x
    x = 6,764,821.22/3,486.94
  6. Step 6: Final answer
    x = 1,940.05

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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.