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Finding the Fourth Proportional to 3,771.95, 5,650.56 and 2,469.47

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Solution

The fourth proportional to 3,771.95, 5,650.56 and 2,469.47 is: 3,699.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.95 : 5,650.56 = 2,469.47 : x
  2. Step 2: Convert to fraction form
    3,771.95/5,650.56 = 2,469.47/x
  3. Step 3: Cross multiply
    3,771.95x = 5,650.56 × 2,469.47
  4. Step 4: Simplify right side
    3,771.95x = 13,953,860.15
  5. Step 5: Solve for x
    x = 13,953,860.15/3,771.95
  6. Step 6: Final answer
    x = 3,699.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.