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Finding the Fourth Proportional to 4,673.83, 6,450.46 and 2,684.34

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Solution

The fourth proportional to 4,673.83, 6,450.46 and 2,684.34 is: 3,704.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.83 : 6,450.46 = 2,684.34 : x
  2. Step 2: Convert to fraction form
    4,673.83/6,450.46 = 2,684.34/x
  3. Step 3: Cross multiply
    4,673.83x = 6,450.46 × 2,684.34
  4. Step 4: Simplify right side
    4,673.83x = 17,315,227.80
  5. Step 5: Solve for x
    x = 17,315,227.80/4,673.83
  6. Step 6: Final answer
    x = 3,704.72

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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.