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Finding the Fourth Proportional to 4,684.97, 7,027.67 and 1,763.05

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Solution

The fourth proportional to 4,684.97, 7,027.67 and 1,763.05 is: 2,644.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.97 : 7,027.67 = 1,763.05 : x
  2. Step 2: Convert to fraction form
    4,684.97/7,027.67 = 1,763.05/x
  3. Step 3: Cross multiply
    4,684.97x = 7,027.67 × 1,763.05
  4. Step 4: Simplify right side
    4,684.97x = 12,390,120.43
  5. Step 5: Solve for x
    x = 12,390,120.43/4,684.97
  6. Step 6: Final answer
    x = 2,644.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.