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Finding the Fourth Proportional to 5,216.15, 7,824.99 and 1,517.90

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Solution

The fourth proportional to 5,216.15, 7,824.99 and 1,517.90 is: 2,277.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.15 : 7,824.99 = 1,517.90 : x
  2. Step 2: Convert to fraction form
    5,216.15/7,824.99 = 1,517.90/x
  3. Step 3: Cross multiply
    5,216.15x = 7,824.99 × 1,517.90
  4. Step 4: Simplify right side
    5,216.15x = 11,877,571.88
  5. Step 5: Solve for x
    x = 11,877,571.88/5,216.15
  6. Step 6: Final answer
    x = 2,277.08

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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.