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Finding the Fourth Proportional to 5,191.98, 7,164.94 and 2,834.12

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Solution

The fourth proportional to 5,191.98, 7,164.94 and 2,834.12 is: 3,911.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.98 : 7,164.94 = 2,834.12 : x
  2. Step 2: Convert to fraction form
    5,191.98/7,164.94 = 2,834.12/x
  3. Step 3: Cross multiply
    5,191.98x = 7,164.94 × 2,834.12
  4. Step 4: Simplify right side
    5,191.98x = 20,306,256.84
  5. Step 5: Solve for x
    x = 20,306,256.84/5,191.98
  6. Step 6: Final answer
    x = 3,911.08

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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.