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Finding the Fourth Proportional to 3,625.71, 5,003.94 and 2,053.80

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Solution

The fourth proportional to 3,625.71, 5,003.94 and 2,053.80 is: 2,834.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.71 : 5,003.94 = 2,053.80 : x
  2. Step 2: Convert to fraction form
    3,625.71/5,003.94 = 2,053.80/x
  3. Step 3: Cross multiply
    3,625.71x = 5,003.94 × 2,053.80
  4. Step 4: Simplify right side
    3,625.71x = 10,277,091.97
  5. Step 5: Solve for x
    x = 10,277,091.97/3,625.71
  6. Step 6: Final answer
    x = 2,834.50

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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.