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Finding the Fourth Proportional to 5,698.10, 7,863.80 and 3,180.31

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Solution

The fourth proportional to 5,698.10, 7,863.80 and 3,180.31 is: 4,389.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,698.10 : 7,863.80 = 3,180.31 : x
  2. Step 2: Convert to fraction form
    5,698.10/7,863.80 = 3,180.31/x
  3. Step 3: Cross multiply
    5,698.10x = 7,863.80 × 3,180.31
  4. Step 4: Simplify right side
    5,698.10x = 25,009,321.78
  5. Step 5: Solve for x
    x = 25,009,321.78/5,698.10
  6. Step 6: Final answer
    x = 4,389.07

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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.