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Finding the Fourth Proportional to 5,791.75, 7,986.60 and 4,955.22

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Solution

The fourth proportional to 5,791.75, 7,986.60 and 4,955.22 is: 6,833.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.75 : 7,986.60 = 4,955.22 : x
  2. Step 2: Convert to fraction form
    5,791.75/7,986.60 = 4,955.22/x
  3. Step 3: Cross multiply
    5,791.75x = 7,986.60 × 4,955.22
  4. Step 4: Simplify right side
    5,791.75x = 39,575,360.05
  5. Step 5: Solve for x
    x = 39,575,360.05/5,791.75
  6. Step 6: Final answer
    x = 6,833.06

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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.