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Finding the Fourth Proportional to 5,626.38, 8,404.48 and 4,168.38

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Solution

The fourth proportional to 5,626.38, 8,404.48 and 4,168.38 is: 6,226.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.38 : 8,404.48 = 4,168.38 : x
  2. Step 2: Convert to fraction form
    5,626.38/8,404.48 = 4,168.38/x
  3. Step 3: Cross multiply
    5,626.38x = 8,404.48 × 4,168.38
  4. Step 4: Simplify right side
    5,626.38x = 35,033,066.34
  5. Step 5: Solve for x
    x = 35,033,066.34/5,626.38
  6. Step 6: Final answer
    x = 6,226.57

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.