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Finding the Fourth Proportional to 5,647.02, 7,793.81 and 3,409.23

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Solution

The fourth proportional to 5,647.02, 7,793.81 and 3,409.23 is: 4,705.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.02 : 7,793.81 = 3,409.23 : x
  2. Step 2: Convert to fraction form
    5,647.02/7,793.81 = 3,409.23/x
  3. Step 3: Cross multiply
    5,647.02x = 7,793.81 × 3,409.23
  4. Step 4: Simplify right side
    5,647.02x = 26,570,873.82
  5. Step 5: Solve for x
    x = 26,570,873.82/5,647.02
  6. Step 6: Final answer
    x = 4,705.29

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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.