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Finding the Fourth Proportional to 4,940.72, 7,409 and 2,016.96

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Solution

The fourth proportional to 4,940.72, 7,409 and 2,016.96 is: 3,024.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,940.72 : 7,409 = 2,016.96 : x
  2. Step 2: Convert to fraction form
    4,940.72/7,409 = 2,016.96/x
  3. Step 3: Cross multiply
    4,940.72x = 7,409 × 2,016.96
  4. Step 4: Simplify right side
    4,940.72x = 14,943,656.64
  5. Step 5: Solve for x
    x = 14,943,656.64/4,940.72
  6. Step 6: Final answer
    x = 3,024.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.