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Finding the Fourth Proportional to 3,749.39, 5,172.19 and 3,042.02

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Solution

The fourth proportional to 3,749.39, 5,172.19 and 3,042.02 is: 4,196.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,749.39 : 5,172.19 = 3,042.02 : x
  2. Step 2: Convert to fraction form
    3,749.39/5,172.19 = 3,042.02/x
  3. Step 3: Cross multiply
    3,749.39x = 5,172.19 × 3,042.02
  4. Step 4: Simplify right side
    3,749.39x = 15,733,910.75
  5. Step 5: Solve for x
    x = 15,733,910.75/3,749.39
  6. Step 6: Final answer
    x = 4,196.39

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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.