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Finding the Fourth Proportional to 5,236.83, 7,825.01 and 3,962.03

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Solution

The fourth proportional to 5,236.83, 7,825.01 and 3,962.03 is: 5,920.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.83 : 7,825.01 = 3,962.03 : x
  2. Step 2: Convert to fraction form
    5,236.83/7,825.01 = 3,962.03/x
  3. Step 3: Cross multiply
    5,236.83x = 7,825.01 × 3,962.03
  4. Step 4: Simplify right side
    5,236.83x = 31,002,865.44
  5. Step 5: Solve for x
    x = 31,002,865.44/5,236.83
  6. Step 6: Final answer
    x = 5,920.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.