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Finding the Fourth Proportional to 3,687.60, 5,087.64 and 2,269.83

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Solution

The fourth proportional to 3,687.60, 5,087.64 and 2,269.83 is: 3,131.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.60 : 5,087.64 = 2,269.83 : x
  2. Step 2: Convert to fraction form
    3,687.60/5,087.64 = 2,269.83/x
  3. Step 3: Cross multiply
    3,687.60x = 5,087.64 × 2,269.83
  4. Step 4: Simplify right side
    3,687.60x = 11,548,077.90
  5. Step 5: Solve for x
    x = 11,548,077.90/3,687.60
  6. Step 6: Final answer
    x = 3,131.60

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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.