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Finding the Fourth Proportional to 3,414.56, 5,128.80 and 3,012.80

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Solution

The fourth proportional to 3,414.56, 5,128.80 and 3,012.80 is: 4,525.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,414.56 : 5,128.80 = 3,012.80 : x
  2. Step 2: Convert to fraction form
    3,414.56/5,128.80 = 3,012.80/x
  3. Step 3: Cross multiply
    3,414.56x = 5,128.80 × 3,012.80
  4. Step 4: Simplify right side
    3,414.56x = 15,452,048.64
  5. Step 5: Solve for x
    x = 15,452,048.64/3,414.56
  6. Step 6: Final answer
    x = 4,525.34

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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.