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Finding the Fourth Proportional to 4,149.36, 6,224.04 and 1,684.22

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Solution

The fourth proportional to 4,149.36, 6,224.04 and 1,684.22 is: 2,526.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.36 : 6,224.04 = 1,684.22 : x
  2. Step 2: Convert to fraction form
    4,149.36/6,224.04 = 1,684.22/x
  3. Step 3: Cross multiply
    4,149.36x = 6,224.04 × 1,684.22
  4. Step 4: Simplify right side
    4,149.36x = 10,482,652.65
  5. Step 5: Solve for x
    x = 10,482,652.65/4,149.36
  6. Step 6: Final answer
    x = 2,526.33

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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.