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Finding the Fourth Proportional to 3,693.63, 5,544.09 and 1,962.25

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Solution

The fourth proportional to 3,693.63, 5,544.09 and 1,962.25 is: 2,945.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.63 : 5,544.09 = 1,962.25 : x
  2. Step 2: Convert to fraction form
    3,693.63/5,544.09 = 1,962.25/x
  3. Step 3: Cross multiply
    3,693.63x = 5,544.09 × 1,962.25
  4. Step 4: Simplify right side
    3,693.63x = 10,878,890.60
  5. Step 5: Solve for x
    x = 10,878,890.60/3,693.63
  6. Step 6: Final answer
    x = 2,945.31

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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.