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Finding the Fourth Proportional to 4,951.14, 6,832.74 and 2,713.11

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Solution

The fourth proportional to 4,951.14, 6,832.74 and 2,713.11 is: 3,744.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.14 : 6,832.74 = 2,713.11 : x
  2. Step 2: Convert to fraction form
    4,951.14/6,832.74 = 2,713.11/x
  3. Step 3: Cross multiply
    4,951.14x = 6,832.74 × 2,713.11
  4. Step 4: Simplify right side
    4,951.14x = 18,537,975.22
  5. Step 5: Solve for x
    x = 18,537,975.22/4,951.14
  6. Step 6: Final answer
    x = 3,744.18

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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.