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Finding the Fourth Proportional to 3,906.68, 5,860.00 and 984.99

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Solution

The fourth proportional to 3,906.68, 5,860.00 and 984.99 is: 1,477.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,906.68 : 5,860.00 = 984.99 : x
  2. Step 2: Convert to fraction form
    3,906.68/5,860.00 = 984.99/x
  3. Step 3: Cross multiply
    3,906.68x = 5,860.00 × 984.99
  4. Step 4: Simplify right side
    3,906.68x = 5,772,009.62
  5. Step 5: Solve for x
    x = 5,772,009.62/3,906.68
  6. Step 6: Final answer
    x = 1,477.47

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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.