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Finding the Fourth Proportional to 3,801.28, 5,704.23 and 1,335.91

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Solution

The fourth proportional to 3,801.28, 5,704.23 and 1,335.91 is: 2,004.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.28 : 5,704.23 = 1,335.91 : x
  2. Step 2: Convert to fraction form
    3,801.28/5,704.23 = 1,335.91/x
  3. Step 3: Cross multiply
    3,801.28x = 5,704.23 × 1,335.91
  4. Step 4: Simplify right side
    3,801.28x = 7,620,313.50
  5. Step 5: Solve for x
    x = 7,620,313.50/3,801.28
  6. Step 6: Final answer
    x = 2,004.67

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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.