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Finding the Fourth Proportional to 4,978.49, 7,467.75 and 2,016.99

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Solution

The fourth proportional to 4,978.49, 7,467.75 and 2,016.99 is: 3,025.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,978.49 : 7,467.75 = 2,016.99 : x
  2. Step 2: Convert to fraction form
    4,978.49/7,467.75 = 2,016.99/x
  3. Step 3: Cross multiply
    4,978.49x = 7,467.75 × 2,016.99
  4. Step 4: Simplify right side
    4,978.49x = 15,062,339.73
  5. Step 5: Solve for x
    x = 15,062,339.73/4,978.49
  6. Step 6: Final answer
    x = 3,025.49

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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.