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Finding the Fourth Proportional to 5,409.98, 8,114.24 and 2,125.39

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Solution

The fourth proportional to 5,409.98, 8,114.24 and 2,125.39 is: 3,187.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.98 : 8,114.24 = 2,125.39 : x
  2. Step 2: Convert to fraction form
    5,409.98/8,114.24 = 2,125.39/x
  3. Step 3: Cross multiply
    5,409.98x = 8,114.24 × 2,125.39
  4. Step 4: Simplify right side
    5,409.98x = 17,245,873.36
  5. Step 5: Solve for x
    x = 17,245,873.36/5,409.98
  6. Step 6: Final answer
    x = 3,187.79

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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.