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Finding the Fourth Proportional to 4,223.87, 5,828.82 and 2,335.42

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Solution

The fourth proportional to 4,223.87, 5,828.82 and 2,335.42 is: 3,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.87 : 5,828.82 = 2,335.42 : x
  2. Step 2: Convert to fraction form
    4,223.87/5,828.82 = 2,335.42/x
  3. Step 3: Cross multiply
    4,223.87x = 5,828.82 × 2,335.42
  4. Step 4: Simplify right side
    4,223.87x = 13,612,742.80
  5. Step 5: Solve for x
    x = 13,612,742.80/4,223.87
  6. Step 6: Final answer
    x = 3,222.81

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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.