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Finding the Fourth Proportional to 4,195.32, 5,796.84 and 3,448.71

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Solution

The fourth proportional to 4,195.32, 5,796.84 and 3,448.71 is: 4,765.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.32 : 5,796.84 = 3,448.71 : x
  2. Step 2: Convert to fraction form
    4,195.32/5,796.84 = 3,448.71/x
  3. Step 3: Cross multiply
    4,195.32x = 5,796.84 × 3,448.71
  4. Step 4: Simplify right side
    4,195.32x = 19,991,620.08
  5. Step 5: Solve for x
    x = 19,991,620.08/4,195.32
  6. Step 6: Final answer
    x = 4,765.22

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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.