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Finding the Fourth Proportional to 3,900.16, 5,381.94 and 2,131.39

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Solution

The fourth proportional to 3,900.16, 5,381.94 and 2,131.39 is: 2,941.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.16 : 5,381.94 = 2,131.39 : x
  2. Step 2: Convert to fraction form
    3,900.16/5,381.94 = 2,131.39/x
  3. Step 3: Cross multiply
    3,900.16x = 5,381.94 × 2,131.39
  4. Step 4: Simplify right side
    3,900.16x = 11,471,013.10
  5. Step 5: Solve for x
    x = 11,471,013.10/3,900.16
  6. Step 6: Final answer
    x = 2,941.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.