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Finding the Fourth Proportional to 6,131.41, 8,449.84 and 4,359.94

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Solution

The fourth proportional to 6,131.41, 8,449.84 and 4,359.94 is: 6,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.41 : 8,449.84 = 4,359.94 : x
  2. Step 2: Convert to fraction form
    6,131.41/8,449.84 = 4,359.94/x
  3. Step 3: Cross multiply
    6,131.41x = 8,449.84 × 4,359.94
  4. Step 4: Simplify right side
    6,131.41x = 36,840,795.41
  5. Step 5: Solve for x
    x = 36,840,795.41/6,131.41
  6. Step 6: Final answer
    x = 6,008.54

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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.