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Finding the Fourth Proportional to 3,544.50, 4,880.25 and 3,012.33

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Solution

The fourth proportional to 3,544.50, 4,880.25 and 3,012.33 is: 4,147.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.50 : 4,880.25 = 3,012.33 : x
  2. Step 2: Convert to fraction form
    3,544.50/4,880.25 = 3,012.33/x
  3. Step 3: Cross multiply
    3,544.50x = 4,880.25 × 3,012.33
  4. Step 4: Simplify right side
    3,544.50x = 14,700,923.48
  5. Step 5: Solve for x
    x = 14,700,923.48/3,544.50
  6. Step 6: Final answer
    x = 4,147.53

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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.