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Finding the Fourth Proportional to 3,782.93, 5,674.44 and 1,317.80

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Solution

The fourth proportional to 3,782.93, 5,674.44 and 1,317.80 is: 1,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.93 : 5,674.44 = 1,317.80 : x
  2. Step 2: Convert to fraction form
    3,782.93/5,674.44 = 1,317.80/x
  3. Step 3: Cross multiply
    3,782.93x = 5,674.44 × 1,317.80
  4. Step 4: Simplify right side
    3,782.93x = 7,477,777.03
  5. Step 5: Solve for x
    x = 7,477,777.03/3,782.93
  6. Step 6: Final answer
    x = 1,976.72

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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.