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Finding the Fourth Proportional to 5,213.99, 7,821.50 and 1,515.23

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Solution

The fourth proportional to 5,213.99, 7,821.50 and 1,515.23 is: 2,272.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.99 : 7,821.50 = 1,515.23 : x
  2. Step 2: Convert to fraction form
    5,213.99/7,821.50 = 1,515.23/x
  3. Step 3: Cross multiply
    5,213.99x = 7,821.50 × 1,515.23
  4. Step 4: Simplify right side
    5,213.99x = 11,851,371.45
  5. Step 5: Solve for x
    x = 11,851,371.45/5,213.99
  6. Step 6: Final answer
    x = 2,272.99

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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.