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Finding the Fourth Proportional to 3,923.48, 5,408.70 and 2,740.88

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Solution

The fourth proportional to 3,923.48, 5,408.70 and 2,740.88 is: 3,778.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923.48 : 5,408.70 = 2,740.88 : x
  2. Step 2: Convert to fraction form
    3,923.48/5,408.70 = 2,740.88/x
  3. Step 3: Cross multiply
    3,923.48x = 5,408.70 × 2,740.88
  4. Step 4: Simplify right side
    3,923.48x = 14,824,597.66
  5. Step 5: Solve for x
    x = 14,824,597.66/3,923.48
  6. Step 6: Final answer
    x = 3,778.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.