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Finding the Fourth Proportional to 6,197.49, 8,554.14 and 3,838.26

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Solution

The fourth proportional to 6,197.49, 8,554.14 and 3,838.26 is: 5,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.49 : 8,554.14 = 3,838.26 : x
  2. Step 2: Convert to fraction form
    6,197.49/8,554.14 = 3,838.26/x
  3. Step 3: Cross multiply
    6,197.49x = 8,554.14 × 3,838.26
  4. Step 4: Simplify right side
    6,197.49x = 32,833,013.40
  5. Step 5: Solve for x
    x = 32,833,013.40/6,197.49
  6. Step 6: Final answer
    x = 5,297.79

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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.