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Finding the Fourth Proportional to 3,786.72, 5,223.99 and 2,214.12

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Solution

The fourth proportional to 3,786.72, 5,223.99 and 2,214.12 is: 3,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.72 : 5,223.99 = 2,214.12 : x
  2. Step 2: Convert to fraction form
    3,786.72/5,223.99 = 2,214.12/x
  3. Step 3: Cross multiply
    3,786.72x = 5,223.99 × 2,214.12
  4. Step 4: Simplify right side
    3,786.72x = 11,566,540.74
  5. Step 5: Solve for x
    x = 11,566,540.74/3,786.72
  6. Step 6: Final answer
    x = 3,054.50

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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.