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Finding the Fourth Proportional to 3,980.46, 5,970.75 and 1,383.48

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Solution

The fourth proportional to 3,980.46, 5,970.75 and 1,383.48 is: 2,075.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.46 : 5,970.75 = 1,383.48 : x
  2. Step 2: Convert to fraction form
    3,980.46/5,970.75 = 1,383.48/x
  3. Step 3: Cross multiply
    3,980.46x = 5,970.75 × 1,383.48
  4. Step 4: Simplify right side
    3,980.46x = 8,260,413.21
  5. Step 5: Solve for x
    x = 8,260,413.21/3,980.46
  6. Step 6: Final answer
    x = 2,075.24

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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.