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Finding the Fourth Proportional to 3,420.75, 5,131.62 and 1,079.96

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Solution

The fourth proportional to 3,420.75, 5,131.62 and 1,079.96 is: 1,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,420.75 : 5,131.62 = 1,079.96 : x
  2. Step 2: Convert to fraction form
    3,420.75/5,131.62 = 1,079.96/x
  3. Step 3: Cross multiply
    3,420.75x = 5,131.62 × 1,079.96
  4. Step 4: Simplify right side
    3,420.75x = 5,541,944.34
  5. Step 5: Solve for x
    x = 5,541,944.34/3,420.75
  6. Step 6: Final answer
    x = 1,620.10

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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.