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Finding the Fourth Proportional to 4,662.69, 6,434.72 and 2,673.44

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Solution

The fourth proportional to 4,662.69, 6,434.72 and 2,673.44 is: 3,689.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,662.69 : 6,434.72 = 2,673.44 : x
  2. Step 2: Convert to fraction form
    4,662.69/6,434.72 = 2,673.44/x
  3. Step 3: Cross multiply
    4,662.69x = 6,434.72 × 2,673.44
  4. Step 4: Simplify right side
    4,662.69x = 17,202,792.30
  5. Step 5: Solve for x
    x = 17,202,792.30/4,662.69
  6. Step 6: Final answer
    x = 3,689.46

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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.