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Finding the Fourth Proportional to 3,771.64, 5,646.12 and 2,035

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Solution

The fourth proportional to 3,771.64, 5,646.12 and 2,035 is: 3,046.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.64 : 5,646.12 = 2,035 : x
  2. Step 2: Convert to fraction form
    3,771.64/5,646.12 = 2,035/x
  3. Step 3: Cross multiply
    3,771.64x = 5,646.12 × 2,035
  4. Step 4: Simplify right side
    3,771.64x = 11,489,854.20
  5. Step 5: Solve for x
    x = 11,489,854.20/3,771.64
  6. Step 6: Final answer
    x = 3,046.38

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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.