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Finding the Fourth Proportional to 3,778.75, 5,668.94 and 1,589.32

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Solution

The fourth proportional to 3,778.75, 5,668.94 and 1,589.32 is: 2,384.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.75 : 5,668.94 = 1,589.32 : x
  2. Step 2: Convert to fraction form
    3,778.75/5,668.94 = 1,589.32/x
  3. Step 3: Cross multiply
    3,778.75x = 5,668.94 × 1,589.32
  4. Step 4: Simplify right side
    3,778.75x = 9,009,759.72
  5. Step 5: Solve for x
    x = 9,009,759.72/3,778.75
  6. Step 6: Final answer
    x = 2,384.32

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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.