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Finding the Fourth Proportional to 6,185.69, 8,536.28 and 3,701.69

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Solution

The fourth proportional to 6,185.69, 8,536.28 and 3,701.69 is: 5,108.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.69 : 8,536.28 = 3,701.69 : x
  2. Step 2: Convert to fraction form
    6,185.69/8,536.28 = 3,701.69/x
  3. Step 3: Cross multiply
    6,185.69x = 8,536.28 × 3,701.69
  4. Step 4: Simplify right side
    6,185.69x = 31,598,662.31
  5. Step 5: Solve for x
    x = 31,598,662.31/6,185.69
  6. Step 6: Final answer
    x = 5,108.35

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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.