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Finding the Fourth Proportional to 3,822.64, 5,275.24 and 2,144.06

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Solution

The fourth proportional to 3,822.64, 5,275.24 and 2,144.06 is: 2,958.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.64 : 5,275.24 = 2,144.06 : x
  2. Step 2: Convert to fraction form
    3,822.64/5,275.24 = 2,144.06/x
  3. Step 3: Cross multiply
    3,822.64x = 5,275.24 × 2,144.06
  4. Step 4: Simplify right side
    3,822.64x = 11,310,431.07
  5. Step 5: Solve for x
    x = 11,310,431.07/3,822.64
  6. Step 6: Final answer
    x = 2,958.80

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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.