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Finding the Fourth Proportional to 3,235.49, 4,463.90 and 1,976.09

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Solution

The fourth proportional to 3,235.49, 4,463.90 and 1,976.09 is: 2,726.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,235.49 : 4,463.90 = 1,976.09 : x
  2. Step 2: Convert to fraction form
    3,235.49/4,463.90 = 1,976.09/x
  3. Step 3: Cross multiply
    3,235.49x = 4,463.90 × 1,976.09
  4. Step 4: Simplify right side
    3,235.49x = 8,821,035.95
  5. Step 5: Solve for x
    x = 8,821,035.95/3,235.49
  6. Step 6: Final answer
    x = 2,726.34

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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.