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Finding the Fourth Proportional to 4,162.46, 5,744.13 and 2,274.02

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Solution

The fourth proportional to 4,162.46, 5,744.13 and 2,274.02 is: 3,138.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.46 : 5,744.13 = 2,274.02 : x
  2. Step 2: Convert to fraction form
    4,162.46/5,744.13 = 2,274.02/x
  3. Step 3: Cross multiply
    4,162.46x = 5,744.13 × 2,274.02
  4. Step 4: Simplify right side
    4,162.46x = 13,062,266.50
  5. Step 5: Solve for x
    x = 13,062,266.50/4,162.46
  6. Step 6: Final answer
    x = 3,138.11

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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.