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Finding the Fourth Proportional to 4,743.49, 6,546 and 2,755.21

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Solution

The fourth proportional to 4,743.49, 6,546 and 2,755.21 is: 3,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.49 : 6,546 = 2,755.21 : x
  2. Step 2: Convert to fraction form
    4,743.49/6,546 = 2,755.21/x
  3. Step 3: Cross multiply
    4,743.49x = 6,546 × 2,755.21
  4. Step 4: Simplify right side
    4,743.49x = 18,035,604.66
  5. Step 5: Solve for x
    x = 18,035,604.66/4,743.49
  6. Step 6: Final answer
    x = 3,802.18

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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.