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Finding the Fourth Proportional to 4,219.67, 5,823.04 and 2,331.22

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Solution

The fourth proportional to 4,219.67, 5,823.04 and 2,331.22 is: 3,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,219.67 : 5,823.04 = 2,331.22 : x
  2. Step 2: Convert to fraction form
    4,219.67/5,823.04 = 2,331.22/x
  3. Step 3: Cross multiply
    4,219.67x = 5,823.04 × 2,331.22
  4. Step 4: Simplify right side
    4,219.67x = 13,574,787.31
  5. Step 5: Solve for x
    x = 13,574,787.31/4,219.67
  6. Step 6: Final answer
    x = 3,217.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.