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Finding the Fourth Proportional to 6,193.04, 8,546.36 and 3,398.48

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Solution

The fourth proportional to 6,193.04, 8,546.36 and 3,398.48 is: 4,689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 8,546.36 = 3,398.48 : x
  2. Step 2: Convert to fraction form
    6,193.04/8,546.36 = 3,398.48/x
  3. Step 3: Cross multiply
    6,193.04x = 8,546.36 × 3,398.48
  4. Step 4: Simplify right side
    6,193.04x = 29,044,633.53
  5. Step 5: Solve for x
    x = 29,044,633.53/6,193.04
  6. Step 6: Final answer
    x = 4,689.88

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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.