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Finding the Fourth Proportional to 5,420.35, 8,135.16 and 3,864.16

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Solution

The fourth proportional to 5,420.35, 8,135.16 and 3,864.16 is: 5,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.35 : 8,135.16 = 3,864.16 : x
  2. Step 2: Convert to fraction form
    5,420.35/8,135.16 = 3,864.16/x
  3. Step 3: Cross multiply
    5,420.35x = 8,135.16 × 3,864.16
  4. Step 4: Simplify right side
    5,420.35x = 31,435,540.54
  5. Step 5: Solve for x
    x = 31,435,540.54/5,420.35
  6. Step 6: Final answer
    x = 5,799.54

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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.