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Finding the Fourth Proportional to 3,647.60, 5,466.60 and 3,234.80

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Solution

The fourth proportional to 3,647.60, 5,466.60 and 3,234.80 is: 4,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.60 : 5,466.60 = 3,234.80 : x
  2. Step 2: Convert to fraction form
    3,647.60/5,466.60 = 3,234.80/x
  3. Step 3: Cross multiply
    3,647.60x = 5,466.60 × 3,234.80
  4. Step 4: Simplify right side
    3,647.60x = 17,683,357.68
  5. Step 5: Solve for x
    x = 17,683,357.68/3,647.60
  6. Step 6: Final answer
    x = 4,847.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.