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Finding the Fourth Proportional to 3,706.50, 5,114.97 and 2,050.50

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Solution

The fourth proportional to 3,706.50, 5,114.97 and 2,050.50 is: 2,829.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.50 : 5,114.97 = 2,050.50 : x
  2. Step 2: Convert to fraction form
    3,706.50/5,114.97 = 2,050.50/x
  3. Step 3: Cross multiply
    3,706.50x = 5,114.97 × 2,050.50
  4. Step 4: Simplify right side
    3,706.50x = 10,488,245.99
  5. Step 5: Solve for x
    x = 10,488,245.99/3,706.50
  6. Step 6: Final answer
    x = 2,829.69

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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.