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Finding the Fourth Proportional to 6,186.22, 8,536.61 and 3,668.57

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Solution

The fourth proportional to 6,186.22, 8,536.61 and 3,668.57 is: 5,062.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.22 : 8,536.61 = 3,668.57 : x
  2. Step 2: Convert to fraction form
    6,186.22/8,536.61 = 3,668.57/x
  3. Step 3: Cross multiply
    6,186.22x = 8,536.61 × 3,668.57
  4. Step 4: Simplify right side
    6,186.22x = 31,317,117.84
  5. Step 5: Solve for x
    x = 31,317,117.84/6,186.22
  6. Step 6: Final answer
    x = 5,062.40

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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.