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Finding the Fourth Proportional to 5,653.96, 7,801.62 and 3,169.48

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Solution

The fourth proportional to 5,653.96, 7,801.62 and 3,169.48 is: 4,373.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.96 : 7,801.62 = 3,169.48 : x
  2. Step 2: Convert to fraction form
    5,653.96/7,801.62 = 3,169.48/x
  3. Step 3: Cross multiply
    5,653.96x = 7,801.62 × 3,169.48
  4. Step 4: Simplify right side
    5,653.96x = 24,727,078.56
  5. Step 5: Solve for x
    x = 24,727,078.56/5,653.96
  6. Step 6: Final answer
    x = 4,373.41

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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.