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Finding the Fourth Proportional to 4,568.63, 6,850.79 and 2,102.72

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Solution

The fourth proportional to 4,568.63, 6,850.79 and 2,102.72 is: 3,153.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.63 : 6,850.79 = 2,102.72 : x
  2. Step 2: Convert to fraction form
    4,568.63/6,850.79 = 2,102.72/x
  3. Step 3: Cross multiply
    4,568.63x = 6,850.79 × 2,102.72
  4. Step 4: Simplify right side
    4,568.63x = 14,405,297.28
  5. Step 5: Solve for x
    x = 14,405,297.28/4,568.63
  6. Step 6: Final answer
    x = 3,153.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.