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Finding the Fourth Proportional to 3,494.65, 5,241.54 and 995.89

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Solution

The fourth proportional to 3,494.65, 5,241.54 and 995.89 is: 1,493.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.65 : 5,241.54 = 995.89 : x
  2. Step 2: Convert to fraction form
    3,494.65/5,241.54 = 995.89/x
  3. Step 3: Cross multiply
    3,494.65x = 5,241.54 × 995.89
  4. Step 4: Simplify right side
    3,494.65x = 5,219,997.27
  5. Step 5: Solve for x
    x = 5,219,997.27/3,494.65
  6. Step 6: Final answer
    x = 1,493.71

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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.