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Finding the Fourth Proportional to 4,768.14, 7,154.64 and 2,170.74

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Solution

The fourth proportional to 4,768.14, 7,154.64 and 2,170.74 is: 3,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.14 : 7,154.64 = 2,170.74 : x
  2. Step 2: Convert to fraction form
    4,768.14/7,154.64 = 2,170.74/x
  3. Step 3: Cross multiply
    4,768.14x = 7,154.64 × 2,170.74
  4. Step 4: Simplify right side
    4,768.14x = 15,530,863.23
  5. Step 5: Solve for x
    x = 15,530,863.23/4,768.14
  6. Step 6: Final answer
    x = 3,257.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.