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Finding the Fourth Proportional to 3,822.84, 5,263.77 and 3,348.09

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Solution

The fourth proportional to 3,822.84, 5,263.77 and 3,348.09 is: 4,610.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.84 : 5,263.77 = 3,348.09 : x
  2. Step 2: Convert to fraction form
    3,822.84/5,263.77 = 3,348.09/x
  3. Step 3: Cross multiply
    3,822.84x = 5,263.77 × 3,348.09
  4. Step 4: Simplify right side
    3,822.84x = 17,623,575.70
  5. Step 5: Solve for x
    x = 17,623,575.70/3,822.84
  6. Step 6: Final answer
    x = 4,610.07

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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.