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Finding the Fourth Proportional to 5,199.58, 7,796.67 and 2,567.22

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Solution

The fourth proportional to 5,199.58, 7,796.67 and 2,567.22 is: 3,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,199.58 : 7,796.67 = 2,567.22 : x
  2. Step 2: Convert to fraction form
    5,199.58/7,796.67 = 2,567.22/x
  3. Step 3: Cross multiply
    5,199.58x = 7,796.67 × 2,567.22
  4. Step 4: Simplify right side
    5,199.58x = 20,015,767.16
  5. Step 5: Solve for x
    x = 20,015,767.16/5,199.58
  6. Step 6: Final answer
    x = 3,849.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.