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Finding the Fourth Proportional to 5,694.80, 8,542.20 and 3,496.40

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Solution

The fourth proportional to 5,694.80, 8,542.20 and 3,496.40 is: 5,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.80 : 8,542.20 = 3,496.40 : x
  2. Step 2: Convert to fraction form
    5,694.80/8,542.20 = 3,496.40/x
  3. Step 3: Cross multiply
    5,694.80x = 8,542.20 × 3,496.40
  4. Step 4: Simplify right side
    5,694.80x = 29,866,948.08
  5. Step 5: Solve for x
    x = 29,866,948.08/5,694.80
  6. Step 6: Final answer
    x = 5,244.60

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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.