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Finding the Fourth Proportional to 3,822, 5,274.44 and 2,166

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Solution

The fourth proportional to 3,822, 5,274.44 and 2,166 is: 2,989.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822 : 5,274.44 = 2,166 : x
  2. Step 2: Convert to fraction form
    3,822/5,274.44 = 2,166/x
  3. Step 3: Cross multiply
    3,822x = 5,274.44 × 2,166
  4. Step 4: Simplify right side
    3,822x = 11,424,437.04
  5. Step 5: Solve for x
    x = 11,424,437.04/3,822
  6. Step 6: Final answer
    x = 2,989.13

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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.