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Finding the Fourth Proportional to 5,365.28, 8,048.28 and 1,469.36

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Solution

The fourth proportional to 5,365.28, 8,048.28 and 1,469.36 is: 2,204.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.28 : 8,048.28 = 1,469.36 : x
  2. Step 2: Convert to fraction form
    5,365.28/8,048.28 = 1,469.36/x
  3. Step 3: Cross multiply
    5,365.28x = 8,048.28 × 1,469.36
  4. Step 4: Simplify right side
    5,365.28x = 11,825,820.70
  5. Step 5: Solve for x
    x = 11,825,820.70/5,365.28
  6. Step 6: Final answer
    x = 2,204.14

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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.