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Finding the Fourth Proportional to 6,199.71, 8,554.73 and 3,546.56

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Solution

The fourth proportional to 6,199.71, 8,554.73 and 3,546.56 is: 4,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.71 : 8,554.73 = 3,546.56 : x
  2. Step 2: Convert to fraction form
    6,199.71/8,554.73 = 3,546.56/x
  3. Step 3: Cross multiply
    6,199.71x = 8,554.73 × 3,546.56
  4. Step 4: Simplify right side
    6,199.71x = 30,339,802.72
  5. Step 5: Solve for x
    x = 30,339,802.72/6,199.71
  6. Step 6: Final answer
    x = 4,893.75

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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.