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Finding the Fourth Proportional to 5,924.96, 8,177.64 and 3,408.84

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Solution

The fourth proportional to 5,924.96, 8,177.64 and 3,408.84 is: 4,704.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,924.96 : 8,177.64 = 3,408.84 : x
  2. Step 2: Convert to fraction form
    5,924.96/8,177.64 = 3,408.84/x
  3. Step 3: Cross multiply
    5,924.96x = 8,177.64 × 3,408.84
  4. Step 4: Simplify right side
    5,924.96x = 27,876,266.34
  5. Step 5: Solve for x
    x = 27,876,266.34/5,924.96
  6. Step 6: Final answer
    x = 4,704.89

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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.