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Finding the Fourth Proportional to 3,822.53, 5,273.71 and 3,026.09

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Solution

The fourth proportional to 3,822.53, 5,273.71 and 3,026.09 is: 4,174.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.53 : 5,273.71 = 3,026.09 : x
  2. Step 2: Convert to fraction form
    3,822.53/5,273.71 = 3,026.09/x
  3. Step 3: Cross multiply
    3,822.53x = 5,273.71 × 3,026.09
  4. Step 4: Simplify right side
    3,822.53x = 15,958,726.71
  5. Step 5: Solve for x
    x = 15,958,726.71/3,822.53
  6. Step 6: Final answer
    x = 4,174.92

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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.