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Finding the Fourth Proportional to 5,149.88, 7,109.60 and 4,028.44

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Solution

The fourth proportional to 5,149.88, 7,109.60 and 4,028.44 is: 5,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,149.88 : 7,109.60 = 4,028.44 : x
  2. Step 2: Convert to fraction form
    5,149.88/7,109.60 = 4,028.44/x
  3. Step 3: Cross multiply
    5,149.88x = 7,109.60 × 4,028.44
  4. Step 4: Simplify right side
    5,149.88x = 28,640,559.11
  5. Step 5: Solve for x
    x = 28,640,559.11/5,149.88
  6. Step 6: Final answer
    x = 5,561.40

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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.