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Finding the Fourth Proportional to 3,994.53, 5,991.53 and 1,653.93

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Solution

The fourth proportional to 3,994.53, 5,991.53 and 1,653.93 is: 2,480.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.53 : 5,991.53 = 1,653.93 : x
  2. Step 2: Convert to fraction form
    3,994.53/5,991.53 = 1,653.93/x
  3. Step 3: Cross multiply
    3,994.53x = 5,991.53 × 1,653.93
  4. Step 4: Simplify right side
    3,994.53x = 9,909,571.21
  5. Step 5: Solve for x
    x = 9,909,571.21/3,994.53
  6. Step 6: Final answer
    x = 2,480.79

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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.