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Finding the Fourth Proportional to 4,824.89, 6,652.15 and 3,828.41

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Solution

The fourth proportional to 4,824.89, 6,652.15 and 3,828.41 is: 5,278.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,824.89 : 6,652.15 = 3,828.41 : x
  2. Step 2: Convert to fraction form
    4,824.89/6,652.15 = 3,828.41/x
  3. Step 3: Cross multiply
    4,824.89x = 6,652.15 × 3,828.41
  4. Step 4: Simplify right side
    4,824.89x = 25,467,157.58
  5. Step 5: Solve for x
    x = 25,467,157.58/4,824.89
  6. Step 6: Final answer
    x = 5,278.29

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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.