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Finding the Fourth Proportional to 5,494.92, 7,574.11 and 4,297.78

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Solution

The fourth proportional to 5,494.92, 7,574.11 and 4,297.78 is: 5,923.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.92 : 7,574.11 = 4,297.78 : x
  2. Step 2: Convert to fraction form
    5,494.92/7,574.11 = 4,297.78/x
  3. Step 3: Cross multiply
    5,494.92x = 7,574.11 × 4,297.78
  4. Step 4: Simplify right side
    5,494.92x = 32,551,858.48
  5. Step 5: Solve for x
    x = 32,551,858.48/5,494.92
  6. Step 6: Final answer
    x = 5,923.99

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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.