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Finding the Fourth Proportional to 5,574.85, 7,694.94 and 3,218.56

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Solution

The fourth proportional to 5,574.85, 7,694.94 and 3,218.56 is: 4,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,574.85 : 7,694.94 = 3,218.56 : x
  2. Step 2: Convert to fraction form
    5,574.85/7,694.94 = 3,218.56/x
  3. Step 3: Cross multiply
    5,574.85x = 7,694.94 × 3,218.56
  4. Step 4: Simplify right side
    5,574.85x = 24,766,626.09
  5. Step 5: Solve for x
    x = 24,766,626.09/5,574.85
  6. Step 6: Final answer
    x = 4,442.56

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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.