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Finding the Fourth Proportional to 3,920.45, 5,412.78 and 2,739.47

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Solution

The fourth proportional to 3,920.45, 5,412.78 and 2,739.47 is: 3,782.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.45 : 5,412.78 = 2,739.47 : x
  2. Step 2: Convert to fraction form
    3,920.45/5,412.78 = 2,739.47/x
  3. Step 3: Cross multiply
    3,920.45x = 5,412.78 × 2,739.47
  4. Step 4: Simplify right side
    3,920.45x = 14,828,121.36
  5. Step 5: Solve for x
    x = 14,828,121.36/3,920.45
  6. Step 6: Final answer
    x = 3,782.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.