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Finding the Fourth Proportional to 3,822.46, 5,725.21 and 2,938.45

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Solution

The fourth proportional to 3,822.46, 5,725.21 and 2,938.45 is: 4,401.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,822.46 : 5,725.21 = 2,938.45 : x
  2. Step 2: Convert to fraction form
    3,822.46/5,725.21 = 2,938.45/x
  3. Step 3: Cross multiply
    3,822.46x = 5,725.21 × 2,938.45
  4. Step 4: Simplify right side
    3,822.46x = 16,823,243.32
  5. Step 5: Solve for x
    x = 16,823,243.32/3,822.46
  6. Step 6: Final answer
    x = 4,401.16

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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.