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Finding the Fourth Proportional to 3,365.98, 4,647.33 and 2,107.54

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Solution

The fourth proportional to 3,365.98, 4,647.33 and 2,107.54 is: 2,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,365.98 : 4,647.33 = 2,107.54 : x
  2. Step 2: Convert to fraction form
    3,365.98/4,647.33 = 2,107.54/x
  3. Step 3: Cross multiply
    3,365.98x = 4,647.33 × 2,107.54
  4. Step 4: Simplify right side
    3,365.98x = 9,794,422.25
  5. Step 5: Solve for x
    x = 9,794,422.25/3,365.98
  6. Step 6: Final answer
    x = 2,909.83

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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.