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Finding the Fourth Proportional to 4,896.68, 7,343.48 and 1,609.02

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Solution

The fourth proportional to 4,896.68, 7,343.48 and 1,609.02 is: 2,413.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.68 : 7,343.48 = 1,609.02 : x
  2. Step 2: Convert to fraction form
    4,896.68/7,343.48 = 1,609.02/x
  3. Step 3: Cross multiply
    4,896.68x = 7,343.48 × 1,609.02
  4. Step 4: Simplify right side
    4,896.68x = 11,815,798.14
  5. Step 5: Solve for x
    x = 11,815,798.14/4,896.68
  6. Step 6: Final answer
    x = 2,413.02

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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.