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Finding the Fourth Proportional to 5,243.16, 7,232.82 and 3,982.14

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Solution

The fourth proportional to 5,243.16, 7,232.82 and 3,982.14 is: 5,493.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.16 : 7,232.82 = 3,982.14 : x
  2. Step 2: Convert to fraction form
    5,243.16/7,232.82 = 3,982.14/x
  3. Step 3: Cross multiply
    5,243.16x = 7,232.82 × 3,982.14
  4. Step 4: Simplify right side
    5,243.16x = 28,802,101.83
  5. Step 5: Solve for x
    x = 28,802,101.83/5,243.16
  6. Step 6: Final answer
    x = 5,493.27

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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.