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Finding the Fourth Proportional to 3,460.97, 5,192.14 and 995.82

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Solution

The fourth proportional to 3,460.97, 5,192.14 and 995.82 is: 1,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,460.97 : 5,192.14 = 995.82 : x
  2. Step 2: Convert to fraction form
    3,460.97/5,192.14 = 995.82/x
  3. Step 3: Cross multiply
    3,460.97x = 5,192.14 × 995.82
  4. Step 4: Simplify right side
    3,460.97x = 5,170,410.89
  5. Step 5: Solve for x
    x = 5,170,410.89/3,460.97
  6. Step 6: Final answer
    x = 1,493.92

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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.