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Finding the Fourth Proportional to 3,846.34, 5,761.14 and 2,382.40

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Solution

The fourth proportional to 3,846.34, 5,761.14 and 2,382.40 is: 3,568.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.34 : 5,761.14 = 2,382.40 : x
  2. Step 2: Convert to fraction form
    3,846.34/5,761.14 = 2,382.40/x
  3. Step 3: Cross multiply
    3,846.34x = 5,761.14 × 2,382.40
  4. Step 4: Simplify right side
    3,846.34x = 13,725,339.94
  5. Step 5: Solve for x
    x = 13,725,339.94/3,846.34
  6. Step 6: Final answer
    x = 3,568.42

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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.