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Finding the Fourth Proportional to 4,958.40, 7,436.79 and 1,839.86

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Solution

The fourth proportional to 4,958.40, 7,436.79 and 1,839.86 is: 2,759.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.40 : 7,436.79 = 1,839.86 : x
  2. Step 2: Convert to fraction form
    4,958.40/7,436.79 = 1,839.86/x
  3. Step 3: Cross multiply
    4,958.40x = 7,436.79 × 1,839.86
  4. Step 4: Simplify right side
    4,958.40x = 13,682,652.45
  5. Step 5: Solve for x
    x = 13,682,652.45/4,958.40
  6. Step 6: Final answer
    x = 2,759.49

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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.