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Finding the Fourth Proportional to 5,899.53, 8,141.37 and 3,381.78

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Solution

The fourth proportional to 5,899.53, 8,141.37 and 3,381.78 is: 4,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,899.53 : 8,141.37 = 3,381.78 : x
  2. Step 2: Convert to fraction form
    5,899.53/8,141.37 = 3,381.78/x
  3. Step 3: Cross multiply
    5,899.53x = 8,141.37 × 3,381.78
  4. Step 4: Simplify right side
    5,899.53x = 27,532,365.45
  5. Step 5: Solve for x
    x = 27,532,365.45/5,899.53
  6. Step 6: Final answer
    x = 4,666.88

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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.