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Finding the Fourth Proportional to 4,626.74, 6,381.29 and 4,096.19

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Solution

The fourth proportional to 4,626.74, 6,381.29 and 4,096.19 is: 5,649.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.74 : 6,381.29 = 4,096.19 : x
  2. Step 2: Convert to fraction form
    4,626.74/6,381.29 = 4,096.19/x
  3. Step 3: Cross multiply
    4,626.74x = 6,381.29 × 4,096.19
  4. Step 4: Simplify right side
    4,626.74x = 26,138,923.90
  5. Step 5: Solve for x
    x = 26,138,923.90/4,626.74
  6. Step 6: Final answer
    x = 5,649.54

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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.