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Finding the Fourth Proportional to 5,438.08, 8,164.74 and 3,601

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Solution

The fourth proportional to 5,438.08, 8,164.74 and 3,601 is: 5,406.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.08 : 8,164.74 = 3,601 : x
  2. Step 2: Convert to fraction form
    5,438.08/8,164.74 = 3,601/x
  3. Step 3: Cross multiply
    5,438.08x = 8,164.74 × 3,601
  4. Step 4: Simplify right side
    5,438.08x = 29,401,228.74
  5. Step 5: Solve for x
    x = 29,401,228.74/5,438.08
  6. Step 6: Final answer
    x = 5,406.55

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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.