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Finding the Fourth Proportional to 3,958.65, 5,942.43 and 2,498.63

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Solution

The fourth proportional to 3,958.65, 5,942.43 and 2,498.63 is: 3,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,958.65 : 5,942.43 = 2,498.63 : x
  2. Step 2: Convert to fraction form
    3,958.65/5,942.43 = 2,498.63/x
  3. Step 3: Cross multiply
    3,958.65x = 5,942.43 × 2,498.63
  4. Step 4: Simplify right side
    3,958.65x = 14,847,904.16
  5. Step 5: Solve for x
    x = 14,847,904.16/3,958.65
  6. Step 6: Final answer
    x = 3,750.75

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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.