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Finding the Fourth Proportional to 3,675.67, 5,500.71 and 3,009.85

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Solution

The fourth proportional to 3,675.67, 5,500.71 and 3,009.85 is: 4,504.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675.67 : 5,500.71 = 3,009.85 : x
  2. Step 2: Convert to fraction form
    3,675.67/5,500.71 = 3,009.85/x
  3. Step 3: Cross multiply
    3,675.67x = 5,500.71 × 3,009.85
  4. Step 4: Simplify right side
    3,675.67x = 16,556,311.99
  5. Step 5: Solve for x
    x = 16,556,311.99/3,675.67
  6. Step 6: Final answer
    x = 4,504.30

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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.