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Finding the Fourth Proportional to 5,115.99, 7,674.15 and 1,418.25

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Solution

The fourth proportional to 5,115.99, 7,674.15 and 1,418.25 is: 2,127.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.99 : 7,674.15 = 1,418.25 : x
  2. Step 2: Convert to fraction form
    5,115.99/7,674.15 = 1,418.25/x
  3. Step 3: Cross multiply
    5,115.99x = 7,674.15 × 1,418.25
  4. Step 4: Simplify right side
    5,115.99x = 10,883,863.24
  5. Step 5: Solve for x
    x = 10,883,863.24/5,115.99
  6. Step 6: Final answer
    x = 2,127.42

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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.