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Finding the Fourth Proportional to 3,822.75, 5,262.44 and 3,429.63

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Solution

The fourth proportional to 3,822.75, 5,262.44 and 3,429.63 is: 4,721.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.75 : 5,262.44 = 3,429.63 : x
  2. Step 2: Convert to fraction form
    3,822.75/5,262.44 = 3,429.63/x
  3. Step 3: Cross multiply
    3,822.75x = 5,262.44 × 3,429.63
  4. Step 4: Simplify right side
    3,822.75x = 18,048,204.95
  5. Step 5: Solve for x
    x = 18,048,204.95/3,822.75
  6. Step 6: Final answer
    x = 4,721.26

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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.