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Finding the Fourth Proportional to 6,098.69, 8,416.35 and 3,446.03

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Solution

The fourth proportional to 6,098.69, 8,416.35 and 3,446.03 is: 4,755.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.69 : 8,416.35 = 3,446.03 : x
  2. Step 2: Convert to fraction form
    6,098.69/8,416.35 = 3,446.03/x
  3. Step 3: Cross multiply
    6,098.69x = 8,416.35 × 3,446.03
  4. Step 4: Simplify right side
    6,098.69x = 29,003,015.63
  5. Step 5: Solve for x
    x = 29,003,015.63/6,098.69
  6. Step 6: Final answer
    x = 4,755.62

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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.