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Finding the Fourth Proportional to 3,690.42, 5,523.54 and 2,022

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Solution

The fourth proportional to 3,690.42, 5,523.54 and 2,022 is: 3,026.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.42 : 5,523.54 = 2,022 : x
  2. Step 2: Convert to fraction form
    3,690.42/5,523.54 = 2,022/x
  3. Step 3: Cross multiply
    3,690.42x = 5,523.54 × 2,022
  4. Step 4: Simplify right side
    3,690.42x = 11,168,597.88
  5. Step 5: Solve for x
    x = 11,168,597.88/3,690.42
  6. Step 6: Final answer
    x = 3,026.38

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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.