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Finding the Fourth Proportional to 3,928.50, 5,888.43 and 2,538.54

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Solution

The fourth proportional to 3,928.50, 5,888.43 and 2,538.54 is: 3,805.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,928.50 : 5,888.43 = 2,538.54 : x
  2. Step 2: Convert to fraction form
    3,928.50/5,888.43 = 2,538.54/x
  3. Step 3: Cross multiply
    3,928.50x = 5,888.43 × 2,538.54
  4. Step 4: Simplify right side
    3,928.50x = 14,948,015.09
  5. Step 5: Solve for x
    x = 14,948,015.09/3,928.50
  6. Step 6: Final answer
    x = 3,805.02

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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.