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Finding the Fourth Proportional to 3,394.56, 4,682.07 and 2,765.10

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Solution

The fourth proportional to 3,394.56, 4,682.07 and 2,765.10 is: 3,813.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.56 : 4,682.07 = 2,765.10 : x
  2. Step 2: Convert to fraction form
    3,394.56/4,682.07 = 2,765.10/x
  3. Step 3: Cross multiply
    3,394.56x = 4,682.07 × 2,765.10
  4. Step 4: Simplify right side
    3,394.56x = 12,946,391.76
  5. Step 5: Solve for x
    x = 12,946,391.76/3,394.56
  6. Step 6: Final answer
    x = 3,813.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.