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Finding the Fourth Proportional to 4,742.49, 6,544.62 and 2,754.21

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Solution

The fourth proportional to 4,742.49, 6,544.62 and 2,754.21 is: 3,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.49 : 6,544.62 = 2,754.21 : x
  2. Step 2: Convert to fraction form
    4,742.49/6,544.62 = 2,754.21/x
  3. Step 3: Cross multiply
    4,742.49x = 6,544.62 × 2,754.21
  4. Step 4: Simplify right side
    4,742.49x = 18,025,257.85
  5. Step 5: Solve for x
    x = 18,025,257.85/4,742.49
  6. Step 6: Final answer
    x = 3,800.80

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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.