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Finding the Fourth Proportional to 6,193.12, 8,546.40 and 3,398.56

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Solution

The fourth proportional to 6,193.12, 8,546.40 and 3,398.56 is: 4,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.12 : 8,546.40 = 3,398.56 : x
  2. Step 2: Convert to fraction form
    6,193.12/8,546.40 = 3,398.56/x
  3. Step 3: Cross multiply
    6,193.12x = 8,546.40 × 3,398.56
  4. Step 4: Simplify right side
    6,193.12x = 29,045,453.18
  5. Step 5: Solve for x
    x = 29,045,453.18/6,193.12
  6. Step 6: Final answer
    x = 4,689.95

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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.