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Finding the Fourth Proportional to 5,408.54, 8,125.76 and 3,464.54

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Solution

The fourth proportional to 5,408.54, 8,125.76 and 3,464.54 is: 5,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.54 : 8,125.76 = 3,464.54 : x
  2. Step 2: Convert to fraction form
    5,408.54/8,125.76 = 3,464.54/x
  3. Step 3: Cross multiply
    5,408.54x = 8,125.76 × 3,464.54
  4. Step 4: Simplify right side
    5,408.54x = 28,151,988.58
  5. Step 5: Solve for x
    x = 28,151,988.58/5,408.54
  6. Step 6: Final answer
    x = 5,205.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.