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Finding the Fourth Proportional to 3,842.28, 5,297 and 3,247.24

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Solution

The fourth proportional to 3,842.28, 5,297 and 3,247.24 is: 4,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.28 : 5,297 = 3,247.24 : x
  2. Step 2: Convert to fraction form
    3,842.28/5,297 = 3,247.24/x
  3. Step 3: Cross multiply
    3,842.28x = 5,297 × 3,247.24
  4. Step 4: Simplify right side
    3,842.28x = 17,200,630.28
  5. Step 5: Solve for x
    x = 17,200,630.28/3,842.28
  6. Step 6: Final answer
    x = 4,476.67

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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.