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Finding the Fourth Proportional to 3,136.40, 4,704.60 and 2,771.60

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Solution

The fourth proportional to 3,136.40, 4,704.60 and 2,771.60 is: 4,157.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,136.40 : 4,704.60 = 2,771.60 : x
  2. Step 2: Convert to fraction form
    3,136.40/4,704.60 = 2,771.60/x
  3. Step 3: Cross multiply
    3,136.40x = 4,704.60 × 2,771.60
  4. Step 4: Simplify right side
    3,136.40x = 13,039,269.36
  5. Step 5: Solve for x
    x = 13,039,269.36/3,136.40
  6. Step 6: Final answer
    x = 4,157.40

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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.