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Finding the Fourth Proportional to 6,185.39, 8,536.05 and 4,421.21

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Solution

The fourth proportional to 6,185.39, 8,536.05 and 4,421.21 is: 6,101.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.39 : 8,536.05 = 4,421.21 : x
  2. Step 2: Convert to fraction form
    6,185.39/8,536.05 = 4,421.21/x
  3. Step 3: Cross multiply
    6,185.39x = 8,536.05 × 4,421.21
  4. Step 4: Simplify right side
    6,185.39x = 37,739,626.94
  5. Step 5: Solve for x
    x = 37,739,626.94/6,185.39
  6. Step 6: Final answer
    x = 6,101.42

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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.