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Finding the Fourth Proportional to 3,981.99, 5,971.05 and 1,208.16

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Solution

The fourth proportional to 3,981.99, 5,971.05 and 1,208.16 is: 1,811.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.99 : 5,971.05 = 1,208.16 : x
  2. Step 2: Convert to fraction form
    3,981.99/5,971.05 = 1,208.16/x
  3. Step 3: Cross multiply
    3,981.99x = 5,971.05 × 1,208.16
  4. Step 4: Simplify right side
    3,981.99x = 7,213,983.77
  5. Step 5: Solve for x
    x = 7,213,983.77/3,981.99
  6. Step 6: Final answer
    x = 1,811.65

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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.