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Finding the Fourth Proportional to 3,474.87, 4,788.39 and 2,477.34

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Solution

The fourth proportional to 3,474.87, 4,788.39 and 2,477.34 is: 3,413.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.87 : 4,788.39 = 2,477.34 : x
  2. Step 2: Convert to fraction form
    3,474.87/4,788.39 = 2,477.34/x
  3. Step 3: Cross multiply
    3,474.87x = 4,788.39 × 2,477.34
  4. Step 4: Simplify right side
    3,474.87x = 11,862,470.08
  5. Step 5: Solve for x
    x = 11,862,470.08/3,474.87
  6. Step 6: Final answer
    x = 3,413.79

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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.