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Finding the Fourth Proportional to 3,900.66, 5,382.63 and 2,131.89

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Solution

The fourth proportional to 3,900.66, 5,382.63 and 2,131.89 is: 2,941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.66 : 5,382.63 = 2,131.89 : x
  2. Step 2: Convert to fraction form
    3,900.66/5,382.63 = 2,131.89/x
  3. Step 3: Cross multiply
    3,900.66x = 5,382.63 × 2,131.89
  4. Step 4: Simplify right side
    3,900.66x = 11,475,175.07
  5. Step 5: Solve for x
    x = 11,475,175.07/3,900.66
  6. Step 6: Final answer
    x = 2,941.85

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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.