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Finding the Fourth Proportional to 3,394.95, 5,093.21 and 2,742.70

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Solution

The fourth proportional to 3,394.95, 5,093.21 and 2,742.70 is: 4,114.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.95 : 5,093.21 = 2,742.70 : x
  2. Step 2: Convert to fraction form
    3,394.95/5,093.21 = 2,742.70/x
  3. Step 3: Cross multiply
    3,394.95x = 5,093.21 × 2,742.70
  4. Step 4: Simplify right side
    3,394.95x = 13,969,147.07
  5. Step 5: Solve for x
    x = 13,969,147.07/3,394.95
  6. Step 6: Final answer
    x = 4,114.68

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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.