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Finding the Fourth Proportional to 5,460.56, 8,180.56 and 3,232.80

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Solution

The fourth proportional to 5,460.56, 8,180.56 and 3,232.80 is: 4,843.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.56 : 8,180.56 = 3,232.80 : x
  2. Step 2: Convert to fraction form
    5,460.56/8,180.56 = 3,232.80/x
  3. Step 3: Cross multiply
    5,460.56x = 8,180.56 × 3,232.80
  4. Step 4: Simplify right side
    5,460.56x = 26,446,114.37
  5. Step 5: Solve for x
    x = 26,446,114.37/5,460.56
  6. Step 6: Final answer
    x = 4,843.11

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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.