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Finding the Fourth Proportional to 5,194.25, 7,791.11 and 1,907.08

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Solution

The fourth proportional to 5,194.25, 7,791.11 and 1,907.08 is: 2,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.25 : 7,791.11 = 1,907.08 : x
  2. Step 2: Convert to fraction form
    5,194.25/7,791.11 = 1,907.08/x
  3. Step 3: Cross multiply
    5,194.25x = 7,791.11 × 1,907.08
  4. Step 4: Simplify right side
    5,194.25x = 14,858,270.06
  5. Step 5: Solve for x
    x = 14,858,270.06/5,194.25
  6. Step 6: Final answer
    x = 2,860.52

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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.