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Finding the Fourth Proportional to 3,418.88, 5,128.81 and 1,078.09

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Solution

The fourth proportional to 3,418.88, 5,128.81 and 1,078.09 is: 1,617.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,418.88 : 5,128.81 = 1,078.09 : x
  2. Step 2: Convert to fraction form
    3,418.88/5,128.81 = 1,078.09/x
  3. Step 3: Cross multiply
    3,418.88x = 5,128.81 × 1,078.09
  4. Step 4: Simplify right side
    3,418.88x = 5,529,303.26
  5. Step 5: Solve for x
    x = 5,529,303.26/3,418.88
  6. Step 6: Final answer
    x = 1,617.29

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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.