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Finding the Fourth Proportional to 4,743.96, 6,546.87 and 2,648.22

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Solution

The fourth proportional to 4,743.96, 6,546.87 and 2,648.22 is: 3,654.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.96 : 6,546.87 = 2,648.22 : x
  2. Step 2: Convert to fraction form
    4,743.96/6,546.87 = 2,648.22/x
  3. Step 3: Cross multiply
    4,743.96x = 6,546.87 × 2,648.22
  4. Step 4: Simplify right side
    4,743.96x = 17,337,552.07
  5. Step 5: Solve for x
    x = 17,337,552.07/4,743.96
  6. Step 6: Final answer
    x = 3,654.66

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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.