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Finding the Fourth Proportional to 3,673.71, 5,513.31 and 2,289.06

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Solution

The fourth proportional to 3,673.71, 5,513.31 and 2,289.06 is: 3,435.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.71 : 5,513.31 = 2,289.06 : x
  2. Step 2: Convert to fraction form
    3,673.71/5,513.31 = 2,289.06/x
  3. Step 3: Cross multiply
    3,673.71x = 5,513.31 × 2,289.06
  4. Step 4: Simplify right side
    3,673.71x = 12,620,297.39
  5. Step 5: Solve for x
    x = 12,620,297.39/3,673.71
  6. Step 6: Final answer
    x = 3,435.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.