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Finding the Fourth Proportional to 5,778.50, 7,969.20 and 3,651.44

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Solution

The fourth proportional to 5,778.50, 7,969.20 and 3,651.44 is: 5,035.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.50 : 7,969.20 = 3,651.44 : x
  2. Step 2: Convert to fraction form
    5,778.50/7,969.20 = 3,651.44/x
  3. Step 3: Cross multiply
    5,778.50x = 7,969.20 × 3,651.44
  4. Step 4: Simplify right side
    5,778.50x = 29,099,055.65
  5. Step 5: Solve for x
    x = 29,099,055.65/5,778.50
  6. Step 6: Final answer
    x = 5,035.75

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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.