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Finding the Fourth Proportional to 4,588.56, 6,874.16 and 2,634.84

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Solution

The fourth proportional to 4,588.56, 6,874.16 and 2,634.84 is: 3,947.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,588.56 : 6,874.16 = 2,634.84 : x
  2. Step 2: Convert to fraction form
    4,588.56/6,874.16 = 2,634.84/x
  3. Step 3: Cross multiply
    4,588.56x = 6,874.16 × 2,634.84
  4. Step 4: Simplify right side
    4,588.56x = 18,112,311.73
  5. Step 5: Solve for x
    x = 18,112,311.73/4,588.56
  6. Step 6: Final answer
    x = 3,947.28

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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.