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Finding the Fourth Proportional to 3,602.25, 5,393.66 and 2,039.94

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Solution

The fourth proportional to 3,602.25, 5,393.66 and 2,039.94 is: 3,054.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.25 : 5,393.66 = 2,039.94 : x
  2. Step 2: Convert to fraction form
    3,602.25/5,393.66 = 2,039.94/x
  3. Step 3: Cross multiply
    3,602.25x = 5,393.66 × 2,039.94
  4. Step 4: Simplify right side
    3,602.25x = 11,002,732.58
  5. Step 5: Solve for x
    x = 11,002,732.58/3,602.25
  6. Step 6: Final answer
    x = 3,054.41

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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.