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Finding the Fourth Proportional to 4,342.56, 6,512.25 and 1,568.57

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Solution

The fourth proportional to 4,342.56, 6,512.25 and 1,568.57 is: 2,352.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.56 : 6,512.25 = 1,568.57 : x
  2. Step 2: Convert to fraction form
    4,342.56/6,512.25 = 1,568.57/x
  3. Step 3: Cross multiply
    4,342.56x = 6,512.25 × 1,568.57
  4. Step 4: Simplify right side
    4,342.56x = 10,214,884.48
  5. Step 5: Solve for x
    x = 10,214,884.48/4,342.56
  6. Step 6: Final answer
    x = 2,352.27

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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.