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Finding the Fourth Proportional to 6,085.34, 8,398.34 and 3,694.74

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Solution

The fourth proportional to 6,085.34, 8,398.34 and 3,694.74 is: 5,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,085.34 : 8,398.34 = 3,694.74 : x
  2. Step 2: Convert to fraction form
    6,085.34/8,398.34 = 3,694.74/x
  3. Step 3: Cross multiply
    6,085.34x = 8,398.34 × 3,694.74
  4. Step 4: Simplify right side
    6,085.34x = 31,029,664.26
  5. Step 5: Solve for x
    x = 31,029,664.26/6,085.34
  6. Step 6: Final answer
    x = 5,099.09

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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.