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Finding the Fourth Proportional to 4,092.16, 5,644.80 and 3,346.56

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Solution

The fourth proportional to 4,092.16, 5,644.80 and 3,346.56 is: 4,616.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,092.16 : 5,644.80 = 3,346.56 : x
  2. Step 2: Convert to fraction form
    4,092.16/5,644.80 = 3,346.56/x
  3. Step 3: Cross multiply
    4,092.16x = 5,644.80 × 3,346.56
  4. Step 4: Simplify right side
    4,092.16x = 18,890,661.89
  5. Step 5: Solve for x
    x = 18,890,661.89/4,092.16
  6. Step 6: Final answer
    x = 4,616.31

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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.