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Finding the Fourth Proportional to 4,744.94, 6,546.48 and 2,648.66

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Solution

The fourth proportional to 4,744.94, 6,546.48 and 2,648.66 is: 3,654.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.94 : 6,546.48 = 2,648.66 : x
  2. Step 2: Convert to fraction form
    4,744.94/6,546.48 = 2,648.66/x
  3. Step 3: Cross multiply
    4,744.94x = 6,546.48 × 2,648.66
  4. Step 4: Simplify right side
    4,744.94x = 17,339,366.98
  5. Step 5: Solve for x
    x = 17,339,366.98/4,744.94
  6. Step 6: Final answer
    x = 3,654.29

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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.