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Finding the Fourth Proportional to 3,481.72, 5,222.42 and 1,290.40

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Solution

The fourth proportional to 3,481.72, 5,222.42 and 1,290.40 is: 1,935.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.72 : 5,222.42 = 1,290.40 : x
  2. Step 2: Convert to fraction form
    3,481.72/5,222.42 = 1,290.40/x
  3. Step 3: Cross multiply
    3,481.72x = 5,222.42 × 1,290.40
  4. Step 4: Simplify right side
    3,481.72x = 6,739,010.77
  5. Step 5: Solve for x
    x = 6,739,010.77/3,481.72
  6. Step 6: Final answer
    x = 1,935.54

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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.