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Finding the Fourth Proportional to 5,698.25, 7,863.48 and 3,180.31

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Solution

The fourth proportional to 5,698.25, 7,863.48 and 3,180.31 is: 4,388.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.25 : 7,863.48 = 3,180.31 : x
  2. Step 2: Convert to fraction form
    5,698.25/7,863.48 = 3,180.31/x
  3. Step 3: Cross multiply
    5,698.25x = 7,863.48 × 3,180.31
  4. Step 4: Simplify right side
    5,698.25x = 25,008,328.65
  5. Step 5: Solve for x
    x = 25,008,328.65/5,698.25
  6. Step 6: Final answer
    x = 4,388.77

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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.