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Finding the Fourth Proportional to 6,201.36, 8,556.84 and 3,717.36

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Solution

The fourth proportional to 6,201.36, 8,556.84 and 3,717.36 is: 5,129.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.36 : 8,556.84 = 3,717.36 : x
  2. Step 2: Convert to fraction form
    6,201.36/8,556.84 = 3,717.36/x
  3. Step 3: Cross multiply
    6,201.36x = 8,556.84 × 3,717.36
  4. Step 4: Simplify right side
    6,201.36x = 31,808,854.74
  5. Step 5: Solve for x
    x = 31,808,854.74/6,201.36
  6. Step 6: Final answer
    x = 5,129.34

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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.