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Finding the Fourth Proportional to 6,199.56, 8,554.49 and 3,546.47

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Solution

The fourth proportional to 6,199.56, 8,554.49 and 3,546.47 is: 4,893.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.56 : 8,554.49 = 3,546.47 : x
  2. Step 2: Convert to fraction form
    6,199.56/8,554.49 = 3,546.47/x
  3. Step 3: Cross multiply
    6,199.56x = 8,554.49 × 3,546.47
  4. Step 4: Simplify right side
    6,199.56x = 30,338,181.65
  5. Step 5: Solve for x
    x = 30,338,181.65/6,199.56
  6. Step 6: Final answer
    x = 4,893.60

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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.