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Finding the Fourth Proportional to 6,186.08, 8,536.20 and 3,828.08

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Solution

The fourth proportional to 6,186.08, 8,536.20 and 3,828.08 is: 5,282.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,186.08 : 8,536.20 = 3,828.08 : x
  2. Step 2: Convert to fraction form
    6,186.08/8,536.20 = 3,828.08/x
  3. Step 3: Cross multiply
    6,186.08x = 8,536.20 × 3,828.08
  4. Step 4: Simplify right side
    6,186.08x = 32,677,256.50
  5. Step 5: Solve for x
    x = 32,677,256.50/6,186.08
  6. Step 6: Final answer
    x = 5,282.39

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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.