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Finding the Fourth Proportional to 3,212.56, 4,817.52 and 1,568.64

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Solution

The fourth proportional to 3,212.56, 4,817.52 and 1,568.64 is: 2,352.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.56 : 4,817.52 = 1,568.64 : x
  2. Step 2: Convert to fraction form
    3,212.56/4,817.52 = 1,568.64/x
  3. Step 3: Cross multiply
    3,212.56x = 4,817.52 × 1,568.64
  4. Step 4: Simplify right side
    3,212.56x = 7,556,954.57
  5. Step 5: Solve for x
    x = 7,556,954.57/3,212.56
  6. Step 6: Final answer
    x = 2,352.32

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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.