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Finding the Fourth Proportional to 3,809.57, 5,257.47 and 2,131.13

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Solution

The fourth proportional to 3,809.57, 5,257.47 and 2,131.13 is: 2,941.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.57 : 5,257.47 = 2,131.13 : x
  2. Step 2: Convert to fraction form
    3,809.57/5,257.47 = 2,131.13/x
  3. Step 3: Cross multiply
    3,809.57x = 5,257.47 × 2,131.13
  4. Step 4: Simplify right side
    3,809.57x = 11,204,365.18
  5. Step 5: Solve for x
    x = 11,204,365.18/3,809.57
  6. Step 6: Final answer
    x = 2,941.11

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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.