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Finding the Fourth Proportional to 5,199.98, 7,176.02 and 2,842.12

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Solution

The fourth proportional to 5,199.98, 7,176.02 and 2,842.12 is: 3,922.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.98 : 7,176.02 = 2,842.12 : x
  2. Step 2: Convert to fraction form
    5,199.98/7,176.02 = 2,842.12/x
  3. Step 3: Cross multiply
    5,199.98x = 7,176.02 × 2,842.12
  4. Step 4: Simplify right side
    5,199.98x = 20,395,109.96
  5. Step 5: Solve for x
    x = 20,395,109.96/5,199.98
  6. Step 6: Final answer
    x = 3,922.15

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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.