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Finding the Fourth Proportional to 5,899.82, 8,141.45 and 3,381.80

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Solution

The fourth proportional to 5,899.82, 8,141.45 and 3,381.80 is: 4,666.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.82 : 8,141.45 = 3,381.80 : x
  2. Step 2: Convert to fraction form
    5,899.82/8,141.45 = 3,381.80/x
  3. Step 3: Cross multiply
    5,899.82x = 8,141.45 × 3,381.80
  4. Step 4: Simplify right side
    5,899.82x = 27,532,697.99
  5. Step 5: Solve for x
    x = 27,532,697.99/5,899.82
  6. Step 6: Final answer
    x = 4,666.71

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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.