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Finding the Fourth Proportional to 3,822.33, 5,275.05 and 2,143.84

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Solution

The fourth proportional to 3,822.33, 5,275.05 and 2,143.84 is: 2,958.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.33 : 5,275.05 = 2,143.84 : x
  2. Step 2: Convert to fraction form
    3,822.33/5,275.05 = 2,143.84/x
  3. Step 3: Cross multiply
    3,822.33x = 5,275.05 × 2,143.84
  4. Step 4: Simplify right side
    3,822.33x = 11,308,881.43
  5. Step 5: Solve for x
    x = 11,308,881.43/3,822.33
  6. Step 6: Final answer
    x = 2,958.64

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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.