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Finding the Fourth Proportional to 4,743.70, 6,546.17 and 2,647.78

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Solution

The fourth proportional to 4,743.70, 6,546.17 and 2,647.78 is: 3,653.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.70 : 6,546.17 = 2,647.78 : x
  2. Step 2: Convert to fraction form
    4,743.70/6,546.17 = 2,647.78/x
  3. Step 3: Cross multiply
    4,743.70x = 6,546.17 × 2,647.78
  4. Step 4: Simplify right side
    4,743.70x = 17,332,818.00
  5. Step 5: Solve for x
    x = 17,332,818.00/4,743.70
  6. Step 6: Final answer
    x = 3,653.86

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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.