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Finding the Fourth Proportional to 5,213.24, 7,820.29 and 1,515.46

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Solution

The fourth proportional to 5,213.24, 7,820.29 and 1,515.46 is: 2,273.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,213.24 : 7,820.29 = 1,515.46 : x
  2. Step 2: Convert to fraction form
    5,213.24/7,820.29 = 1,515.46/x
  3. Step 3: Cross multiply
    5,213.24x = 7,820.29 × 1,515.46
  4. Step 4: Simplify right side
    5,213.24x = 11,851,351.42
  5. Step 5: Solve for x
    x = 11,851,351.42/5,213.24
  6. Step 6: Final answer
    x = 2,273.32

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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.