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Finding the Fourth Proportional to 4,633.70, 6,394.26 and 2,745.46

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Solution

The fourth proportional to 4,633.70, 6,394.26 and 2,745.46 is: 3,788.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.70 : 6,394.26 = 2,745.46 : x
  2. Step 2: Convert to fraction form
    4,633.70/6,394.26 = 2,745.46/x
  3. Step 3: Cross multiply
    4,633.70x = 6,394.26 × 2,745.46
  4. Step 4: Simplify right side
    4,633.70x = 17,555,162.20
  5. Step 5: Solve for x
    x = 17,555,162.20/4,633.70
  6. Step 6: Final answer
    x = 3,788.58

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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.