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Finding the Fourth Proportional to 5,646.56, 7,793.87 and 3,408.05

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Solution

The fourth proportional to 5,646.56, 7,793.87 and 3,408.05 is: 4,704.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.56 : 7,793.87 = 3,408.05 : x
  2. Step 2: Convert to fraction form
    5,646.56/7,793.87 = 3,408.05/x
  3. Step 3: Cross multiply
    5,646.56x = 7,793.87 × 3,408.05
  4. Step 4: Simplify right side
    5,646.56x = 26,561,901.10
  5. Step 5: Solve for x
    x = 26,561,901.10/5,646.56
  6. Step 6: Final answer
    x = 4,704.09

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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.