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Finding the Fourth Proportional to 5,647.98, 7,794.94 and 3,411.12

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Solution

The fourth proportional to 5,647.98, 7,794.94 and 3,411.12 is: 4,707.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.98 : 7,794.94 = 3,411.12 : x
  2. Step 2: Convert to fraction form
    5,647.98/7,794.94 = 3,411.12/x
  3. Step 3: Cross multiply
    5,647.98x = 7,794.94 × 3,411.12
  4. Step 4: Simplify right side
    5,647.98x = 26,589,475.73
  5. Step 5: Solve for x
    x = 26,589,475.73/5,647.98
  6. Step 6: Final answer
    x = 4,707.79

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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.