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Finding the Fourth Proportional to 5,260.82, 7,887.31 and 3,180.40

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Solution

The fourth proportional to 5,260.82, 7,887.31 and 3,180.40 is: 4,768.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,260.82 : 7,887.31 = 3,180.40 : x
  2. Step 2: Convert to fraction form
    5,260.82/7,887.31 = 3,180.40/x
  3. Step 3: Cross multiply
    5,260.82x = 7,887.31 × 3,180.40
  4. Step 4: Simplify right side
    5,260.82x = 25,084,773.05
  5. Step 5: Solve for x
    x = 25,084,773.05/5,260.82
  6. Step 6: Final answer
    x = 4,768.23

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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.