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Finding the Fourth Proportional to 3,899.32, 5,381.19 and 2,131.06

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Solution

The fourth proportional to 3,899.32, 5,381.19 and 2,131.06 is: 2,940.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.32 : 5,381.19 = 2,131.06 : x
  2. Step 2: Convert to fraction form
    3,899.32/5,381.19 = 2,131.06/x
  3. Step 3: Cross multiply
    3,899.32x = 5,381.19 × 2,131.06
  4. Step 4: Simplify right side
    3,899.32x = 11,467,638.76
  5. Step 5: Solve for x
    x = 11,467,638.76/3,899.32
  6. Step 6: Final answer
    x = 2,940.93

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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.