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Finding the Fourth Proportional to 3,797.66, 5,202.82 and 3,655.64

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Solution

The fourth proportional to 3,797.66, 5,202.82 and 3,655.64 is: 5,008.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.66 : 5,202.82 = 3,655.64 : x
  2. Step 2: Convert to fraction form
    3,797.66/5,202.82 = 3,655.64/x
  3. Step 3: Cross multiply
    3,797.66x = 5,202.82 × 3,655.64
  4. Step 4: Simplify right side
    3,797.66x = 19,019,654.48
  5. Step 5: Solve for x
    x = 19,019,654.48/3,797.66
  6. Step 6: Final answer
    x = 5,008.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.