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Finding the Fourth Proportional to 3,109.49, 4,651.43 and 2,835.78

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Solution

The fourth proportional to 3,109.49, 4,651.43 and 2,835.78 is: 4,241.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.49 : 4,651.43 = 2,835.78 : x
  2. Step 2: Convert to fraction form
    3,109.49/4,651.43 = 2,835.78/x
  3. Step 3: Cross multiply
    3,109.49x = 4,651.43 × 2,835.78
  4. Step 4: Simplify right side
    3,109.49x = 13,190,400.54
  5. Step 5: Solve for x
    x = 13,190,400.54/3,109.49
  6. Step 6: Final answer
    x = 4,241.98

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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.