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Finding the Fourth Proportional to 3,289.55, 4,537.01 and 1,962.97

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Solution

The fourth proportional to 3,289.55, 4,537.01 and 1,962.97 is: 2,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.55 : 4,537.01 = 1,962.97 : x
  2. Step 2: Convert to fraction form
    3,289.55/4,537.01 = 1,962.97/x
  3. Step 3: Cross multiply
    3,289.55x = 4,537.01 × 1,962.97
  4. Step 4: Simplify right side
    3,289.55x = 8,906,008.08
  5. Step 5: Solve for x
    x = 8,906,008.08/3,289.55
  6. Step 6: Final answer
    x = 2,707.37

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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.