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Finding the Fourth Proportional to 5,751.64, 7,942.26 and 3,630.97

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Solution

The fourth proportional to 5,751.64, 7,942.26 and 3,630.97 is: 5,013.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.64 : 7,942.26 = 3,630.97 : x
  2. Step 2: Convert to fraction form
    5,751.64/7,942.26 = 3,630.97/x
  3. Step 3: Cross multiply
    5,751.64x = 7,942.26 × 3,630.97
  4. Step 4: Simplify right side
    5,751.64x = 28,838,107.79
  5. Step 5: Solve for x
    x = 28,838,107.79/5,751.64
  6. Step 6: Final answer
    x = 5,013.89

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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.