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Finding the Fourth Proportional to 3,534.42, 5,302.42 and 1,194.34

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Solution

The fourth proportional to 3,534.42, 5,302.42 and 1,194.34 is: 1,791.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.42 : 5,302.42 = 1,194.34 : x
  2. Step 2: Convert to fraction form
    3,534.42/5,302.42 = 1,194.34/x
  3. Step 3: Cross multiply
    3,534.42x = 5,302.42 × 1,194.34
  4. Step 4: Simplify right side
    3,534.42x = 6,332,892.30
  5. Step 5: Solve for x
    x = 6,332,892.30/3,534.42
  6. Step 6: Final answer
    x = 1,791.78

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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.