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Finding the Fourth Proportional to 4,149.04, 6,223.44 and 1,683.80

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Solution

The fourth proportional to 4,149.04, 6,223.44 and 1,683.80 is: 2,525.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,149.04 : 6,223.44 = 1,683.80 : x
  2. Step 2: Convert to fraction form
    4,149.04/6,223.44 = 1,683.80/x
  3. Step 3: Cross multiply
    4,149.04x = 6,223.44 × 1,683.80
  4. Step 4: Simplify right side
    4,149.04x = 10,479,019.85
  5. Step 5: Solve for x
    x = 10,479,019.85/4,149.04
  6. Step 6: Final answer
    x = 2,525.65

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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.