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Finding the Fourth Proportional to 3,822.77, 5,282.00 and 2,758.43

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Solution

The fourth proportional to 3,822.77, 5,282.00 and 2,758.43 is: 3,811.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.77 : 5,282.00 = 2,758.43 : x
  2. Step 2: Convert to fraction form
    3,822.77/5,282.00 = 2,758.43/x
  3. Step 3: Cross multiply
    3,822.77x = 5,282.00 × 2,758.43
  4. Step 4: Simplify right side
    3,822.77x = 14,569,987.06
  5. Step 5: Solve for x
    x = 14,569,987.06/3,822.77
  6. Step 6: Final answer
    x = 3,811.37

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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.