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Finding the Fourth Proportional to 6,104.34, 8,424 and 3,451.76

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Solution

The fourth proportional to 6,104.34, 8,424 and 3,451.76 is: 4,763.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.34 : 8,424 = 3,451.76 : x
  2. Step 2: Convert to fraction form
    6,104.34/8,424 = 3,451.76/x
  3. Step 3: Cross multiply
    6,104.34x = 8,424 × 3,451.76
  4. Step 4: Simplify right side
    6,104.34x = 29,077,626.24
  5. Step 5: Solve for x
    x = 29,077,626.24/6,104.34
  6. Step 6: Final answer
    x = 4,763.43

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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.