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Finding the Fourth Proportional to 3,469.34, 5,201.56 and 1,277.78

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Solution

The fourth proportional to 3,469.34, 5,201.56 and 1,277.78 is: 1,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.34 : 5,201.56 = 1,277.78 : x
  2. Step 2: Convert to fraction form
    3,469.34/5,201.56 = 1,277.78/x
  3. Step 3: Cross multiply
    3,469.34x = 5,201.56 × 1,277.78
  4. Step 4: Simplify right side
    3,469.34x = 6,646,449.34
  5. Step 5: Solve for x
    x = 6,646,449.34/3,469.34
  6. Step 6: Final answer
    x = 1,915.77

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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.