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Finding the Fourth Proportional to 3,809.40, 5,257.23 and 2,130.77

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Solution

The fourth proportional to 3,809.40, 5,257.23 and 2,130.77 is: 2,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.40 : 5,257.23 = 2,130.77 : x
  2. Step 2: Convert to fraction form
    3,809.40/5,257.23 = 2,130.77/x
  3. Step 3: Cross multiply
    3,809.40x = 5,257.23 × 2,130.77
  4. Step 4: Simplify right side
    3,809.40x = 11,201,947.97
  5. Step 5: Solve for x
    x = 11,201,947.97/3,809.40
  6. Step 6: Final answer
    x = 2,940.61

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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.