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Finding the Fourth Proportional to 4,731.41, 7,099.45 and 1,958.88

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Solution

The fourth proportional to 4,731.41, 7,099.45 and 1,958.88 is: 2,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.41 : 7,099.45 = 1,958.88 : x
  2. Step 2: Convert to fraction form
    4,731.41/7,099.45 = 1,958.88/x
  3. Step 3: Cross multiply
    4,731.41x = 7,099.45 × 1,958.88
  4. Step 4: Simplify right side
    4,731.41x = 13,906,992.34
  5. Step 5: Solve for x
    x = 13,906,992.34/4,731.41
  6. Step 6: Final answer
    x = 2,939.29

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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.