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Finding the Fourth Proportional to 3,760.58, 5,640.83 and 1,450.46

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Solution

The fourth proportional to 3,760.58, 5,640.83 and 1,450.46 is: 2,175.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.58 : 5,640.83 = 1,450.46 : x
  2. Step 2: Convert to fraction form
    3,760.58/5,640.83 = 1,450.46/x
  3. Step 3: Cross multiply
    3,760.58x = 5,640.83 × 1,450.46
  4. Step 4: Simplify right side
    3,760.58x = 8,181,798.28
  5. Step 5: Solve for x
    x = 8,181,798.28/3,760.58
  6. Step 6: Final answer
    x = 2,175.67

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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.