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Finding the Fourth Proportional to 3,950.70, 5,452.62 and 3,009.60

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Solution

The fourth proportional to 3,950.70, 5,452.62 and 3,009.60 is: 4,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.70 : 5,452.62 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    3,950.70/5,452.62 = 3,009.60/x
  3. Step 3: Cross multiply
    3,950.70x = 5,452.62 × 3,009.60
  4. Step 4: Simplify right side
    3,950.70x = 16,410,205.15
  5. Step 5: Solve for x
    x = 16,410,205.15/3,950.70
  6. Step 6: Final answer
    x = 4,153.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.