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Finding the Fourth Proportional to 3,687.75, 5,089.37 and 2,290.77

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Solution

The fourth proportional to 3,687.75, 5,089.37 and 2,290.77 is: 3,161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.75 : 5,089.37 = 2,290.77 : x
  2. Step 2: Convert to fraction form
    3,687.75/5,089.37 = 2,290.77/x
  3. Step 3: Cross multiply
    3,687.75x = 5,089.37 × 2,290.77
  4. Step 4: Simplify right side
    3,687.75x = 11,658,564.66
  5. Step 5: Solve for x
    x = 11,658,564.66/3,687.75
  6. Step 6: Final answer
    x = 3,161.43

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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.