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Finding the Fourth Proportional to 3,625.75, 5,003.54 and 2,053.95

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Solution

The fourth proportional to 3,625.75, 5,003.54 and 2,053.95 is: 2,834.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,625.75 : 5,003.54 = 2,053.95 : x
  2. Step 2: Convert to fraction form
    3,625.75/5,003.54 = 2,053.95/x
  3. Step 3: Cross multiply
    3,625.75x = 5,003.54 × 2,053.95
  4. Step 4: Simplify right side
    3,625.75x = 10,277,020.98
  5. Step 5: Solve for x
    x = 10,277,020.98/3,625.75
  6. Step 6: Final answer
    x = 2,834.45

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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.