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Finding the Fourth Proportional to 5,191.99, 7,164.96 and 2,834.17

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Solution

The fourth proportional to 5,191.99, 7,164.96 and 2,834.17 is: 3,911.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,191.99 : 7,164.96 = 2,834.17 : x
  2. Step 2: Convert to fraction form
    5,191.99/7,164.96 = 2,834.17/x
  3. Step 3: Cross multiply
    5,191.99x = 7,164.96 × 2,834.17
  4. Step 4: Simplify right side
    5,191.99x = 20,306,714.68
  5. Step 5: Solve for x
    x = 20,306,714.68/5,191.99
  6. Step 6: Final answer
    x = 3,911.16

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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.