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Finding the Fourth Proportional to 6,171.98, 8,521.26 and 3,815.48

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Solution

The fourth proportional to 6,171.98, 8,521.26 and 3,815.48 is: 5,267.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.98 : 8,521.26 = 3,815.48 : x
  2. Step 2: Convert to fraction form
    6,171.98/8,521.26 = 3,815.48/x
  3. Step 3: Cross multiply
    6,171.98x = 8,521.26 × 3,815.48
  4. Step 4: Simplify right side
    6,171.98x = 32,512,697.10
  5. Step 5: Solve for x
    x = 32,512,697.10/6,171.98
  6. Step 6: Final answer
    x = 5,267.79

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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.