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Finding the Fourth Proportional to 6,105.34, 8,424.90 and 3,453.04

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Solution

The fourth proportional to 6,105.34, 8,424.90 and 3,453.04 is: 4,764.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.34 : 8,424.90 = 3,453.04 : x
  2. Step 2: Convert to fraction form
    6,105.34/8,424.90 = 3,453.04/x
  3. Step 3: Cross multiply
    6,105.34x = 8,424.90 × 3,453.04
  4. Step 4: Simplify right side
    6,105.34x = 29,091,516.70
  5. Step 5: Solve for x
    x = 29,091,516.70/6,105.34
  6. Step 6: Final answer
    x = 4,764.93

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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.