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Finding the Fourth Proportional to 3,900.65, 5,393.27 and 3,408.58

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Solution

The fourth proportional to 3,900.65, 5,393.27 and 3,408.58 is: 4,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.65 : 5,393.27 = 3,408.58 : x
  2. Step 2: Convert to fraction form
    3,900.65/5,393.27 = 3,408.58/x
  3. Step 3: Cross multiply
    3,900.65x = 5,393.27 × 3,408.58
  4. Step 4: Simplify right side
    3,900.65x = 18,383,348.25
  5. Step 5: Solve for x
    x = 18,383,348.25/3,900.65
  6. Step 6: Final answer
    x = 4,712.89

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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.