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Finding the Fourth Proportional to 3,899.94, 5,381.86 and 2,131.65

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Solution

The fourth proportional to 3,899.94, 5,381.86 and 2,131.65 is: 2,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.94 : 5,381.86 = 2,131.65 : x
  2. Step 2: Convert to fraction form
    3,899.94/5,381.86 = 2,131.65/x
  3. Step 3: Cross multiply
    3,899.94x = 5,381.86 × 2,131.65
  4. Step 4: Simplify right side
    3,899.94x = 11,472,241.87
  5. Step 5: Solve for x
    x = 11,472,241.87/3,899.94
  6. Step 6: Final answer
    x = 2,941.65

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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.