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Finding the Fourth Proportional to 3,747.96, 5,173.62 and 3,354.28

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Solution

The fourth proportional to 3,747.96, 5,173.62 and 3,354.28 is: 4,630.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.96 : 5,173.62 = 3,354.28 : x
  2. Step 2: Convert to fraction form
    3,747.96/5,173.62 = 3,354.28/x
  3. Step 3: Cross multiply
    3,747.96x = 5,173.62 × 3,354.28
  4. Step 4: Simplify right side
    3,747.96x = 17,353,770.09
  5. Step 5: Solve for x
    x = 17,353,770.09/3,747.96
  6. Step 6: Final answer
    x = 4,630.19

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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.