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Finding the Fourth Proportional to 3,899.53, 5,381.34 and 2,131.13

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Solution

The fourth proportional to 3,899.53, 5,381.34 and 2,131.13 is: 2,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.53 : 5,381.34 = 2,131.13 : x
  2. Step 2: Convert to fraction form
    3,899.53/5,381.34 = 2,131.13/x
  3. Step 3: Cross multiply
    3,899.53x = 5,381.34 × 2,131.13
  4. Step 4: Simplify right side
    3,899.53x = 11,468,328.29
  5. Step 5: Solve for x
    x = 11,468,328.29/3,899.53
  6. Step 6: Final answer
    x = 2,940.95

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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.