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Finding the Fourth Proportional to 5,974.13, 8,245.10 and 3,615.82

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Solution

The fourth proportional to 5,974.13, 8,245.10 and 3,615.82 is: 4,990.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,974.13 : 8,245.10 = 3,615.82 : x
  2. Step 2: Convert to fraction form
    5,974.13/8,245.10 = 3,615.82/x
  3. Step 3: Cross multiply
    5,974.13x = 8,245.10 × 3,615.82
  4. Step 4: Simplify right side
    5,974.13x = 29,812,785.91
  5. Step 5: Solve for x
    x = 29,812,785.91/5,974.13
  6. Step 6: Final answer
    x = 4,990.31

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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.