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Finding the Fourth Proportional to 3,689.54, 5,086.83 and 2,628.50

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Solution

The fourth proportional to 3,689.54, 5,086.83 and 2,628.50 is: 3,623.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.54 : 5,086.83 = 2,628.50 : x
  2. Step 2: Convert to fraction form
    3,689.54/5,086.83 = 2,628.50/x
  3. Step 3: Cross multiply
    3,689.54x = 5,086.83 × 2,628.50
  4. Step 4: Simplify right side
    3,689.54x = 13,370,723.51
  5. Step 5: Solve for x
    x = 13,370,723.51/3,689.54
  6. Step 6: Final answer
    x = 3,623.96

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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.