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Finding the Fourth Proportional to 5,213.70, 7,195.10 and 2,855.84

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Solution

The fourth proportional to 5,213.70, 7,195.10 and 2,855.84 is: 3,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.70 : 7,195.10 = 2,855.84 : x
  2. Step 2: Convert to fraction form
    5,213.70/7,195.10 = 2,855.84/x
  3. Step 3: Cross multiply
    5,213.70x = 7,195.10 × 2,855.84
  4. Step 4: Simplify right side
    5,213.70x = 20,548,004.13
  5. Step 5: Solve for x
    x = 20,548,004.13/5,213.70
  6. Step 6: Final answer
    x = 3,941.16

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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.