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Finding the Fourth Proportional to 3,534, 5,301 and 1,995.12

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Solution

The fourth proportional to 3,534, 5,301 and 1,995.12 is: 2,992.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534 : 5,301 = 1,995.12 : x
  2. Step 2: Convert to fraction form
    3,534/5,301 = 1,995.12/x
  3. Step 3: Cross multiply
    3,534x = 5,301 × 1,995.12
  4. Step 4: Simplify right side
    3,534x = 10,576,131.12
  5. Step 5: Solve for x
    x = 10,576,131.12/3,534
  6. Step 6: Final answer
    x = 2,992.68

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Double scale
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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.