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Finding the Fourth Proportional to 3,850.88, 5,771.64 and 2,001

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Solution

The fourth proportional to 3,850.88, 5,771.64 and 2,001 is: 2,999.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.88 : 5,771.64 = 2,001 : x
  2. Step 2: Convert to fraction form
    3,850.88/5,771.64 = 2,001/x
  3. Step 3: Cross multiply
    3,850.88x = 5,771.64 × 2,001
  4. Step 4: Simplify right side
    3,850.88x = 11,549,051.64
  5. Step 5: Solve for x
    x = 11,549,051.64/3,850.88
  6. Step 6: Final answer
    x = 2,999.07

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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.