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Finding the Fourth Proportional to 6,201.24, 8,556.40 and 3,683

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Solution

The fourth proportional to 6,201.24, 8,556.40 and 3,683 is: 5,081.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.24 : 8,556.40 = 3,683 : x
  2. Step 2: Convert to fraction form
    6,201.24/8,556.40 = 3,683/x
  3. Step 3: Cross multiply
    6,201.24x = 8,556.40 × 3,683
  4. Step 4: Simplify right side
    6,201.24x = 31,513,221.20
  5. Step 5: Solve for x
    x = 31,513,221.20/6,201.24
  6. Step 6: Final answer
    x = 5,081.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.