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Finding the Fourth Proportional to 5,234.58, 7,851.24 and 1,486.44

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Solution

The fourth proportional to 5,234.58, 7,851.24 and 1,486.44 is: 2,229.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.58 : 7,851.24 = 1,486.44 : x
  2. Step 2: Convert to fraction form
    5,234.58/7,851.24 = 1,486.44/x
  3. Step 3: Cross multiply
    5,234.58x = 7,851.24 × 1,486.44
  4. Step 4: Simplify right side
    5,234.58x = 11,670,397.19
  5. Step 5: Solve for x
    x = 11,670,397.19/5,234.58
  6. Step 6: Final answer
    x = 2,229.48

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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.