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Finding the Fourth Proportional to 3,194.51, 4,380.93 and 3,061.49

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Solution

The fourth proportional to 3,194.51, 4,380.93 and 3,061.49 is: 4,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,194.51 : 4,380.93 = 3,061.49 : x
  2. Step 2: Convert to fraction form
    3,194.51/4,380.93 = 3,061.49/x
  3. Step 3: Cross multiply
    3,194.51x = 4,380.93 × 3,061.49
  4. Step 4: Simplify right side
    3,194.51x = 13,412,151.48
  5. Step 5: Solve for x
    x = 13,412,151.48/3,194.51
  6. Step 6: Final answer
    x = 4,198.51

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.