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Finding the Fourth Proportional to 6,131.82, 8,465.04 and 3,775.32

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Solution

The fourth proportional to 6,131.82, 8,465.04 and 3,775.32 is: 5,211.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.82 : 8,465.04 = 3,775.32 : x
  2. Step 2: Convert to fraction form
    6,131.82/8,465.04 = 3,775.32/x
  3. Step 3: Cross multiply
    6,131.82x = 8,465.04 × 3,775.32
  4. Step 4: Simplify right side
    6,131.82x = 31,958,234.81
  5. Step 5: Solve for x
    x = 31,958,234.81/6,131.82
  6. Step 6: Final answer
    x = 5,211.87

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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.