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Finding the Fourth Proportional to 3,855.84, 5,324.88 and 3,727.20

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Solution

The fourth proportional to 3,855.84, 5,324.88 and 3,727.20 is: 5,147.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.84 : 5,324.88 = 3,727.20 : x
  2. Step 2: Convert to fraction form
    3,855.84/5,324.88 = 3,727.20/x
  3. Step 3: Cross multiply
    3,855.84x = 5,324.88 × 3,727.20
  4. Step 4: Simplify right side
    3,855.84x = 19,846,892.74
  5. Step 5: Solve for x
    x = 19,846,892.74/3,855.84
  6. Step 6: Final answer
    x = 5,147.23

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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.