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Finding the Fourth Proportional to 3,503.79, 5,254.47 and 1,194.75

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Solution

The fourth proportional to 3,503.79, 5,254.47 and 1,194.75 is: 1,791.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.79 : 5,254.47 = 1,194.75 : x
  2. Step 2: Convert to fraction form
    3,503.79/5,254.47 = 1,194.75/x
  3. Step 3: Cross multiply
    3,503.79x = 5,254.47 × 1,194.75
  4. Step 4: Simplify right side
    3,503.79x = 6,277,778.03
  5. Step 5: Solve for x
    x = 6,277,778.03/3,503.79
  6. Step 6: Final answer
    x = 1,791.71

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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.