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Finding the Fourth Proportional to 3,796.42, 5,239.13 and 2,203.10

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Solution

The fourth proportional to 3,796.42, 5,239.13 and 2,203.10 is: 3,040.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.42 : 5,239.13 = 2,203.10 : x
  2. Step 2: Convert to fraction form
    3,796.42/5,239.13 = 2,203.10/x
  3. Step 3: Cross multiply
    3,796.42x = 5,239.13 × 2,203.10
  4. Step 4: Simplify right side
    3,796.42x = 11,542,322.13
  5. Step 5: Solve for x
    x = 11,542,322.13/3,796.42
  6. Step 6: Final answer
    x = 3,040.32

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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.