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Finding the Fourth Proportional to 4,342.34, 6,512.18 and 1,568.66

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Solution

The fourth proportional to 4,342.34, 6,512.18 and 1,568.66 is: 2,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,342.34 : 6,512.18 = 1,568.66 : x
  2. Step 2: Convert to fraction form
    4,342.34/6,512.18 = 1,568.66/x
  3. Step 3: Cross multiply
    4,342.34x = 6,512.18 × 1,568.66
  4. Step 4: Simplify right side
    4,342.34x = 10,215,388.44
  5. Step 5: Solve for x
    x = 10,215,388.44/4,342.34
  6. Step 6: Final answer
    x = 2,352.51

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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.