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Finding the Fourth Proportional to 3,855.25, 5,320.25 and 2,199.25

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Solution

The fourth proportional to 3,855.25, 5,320.25 and 2,199.25 is: 3,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,855.25 : 5,320.25 = 2,199.25 : x
  2. Step 2: Convert to fraction form
    3,855.25/5,320.25 = 2,199.25/x
  3. Step 3: Cross multiply
    3,855.25x = 5,320.25 × 2,199.25
  4. Step 4: Simplify right side
    3,855.25x = 11,700,548.82
  5. Step 5: Solve for x
    x = 11,700,548.82/3,855.25
  6. Step 6: Final answer
    x = 3,034.97

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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.