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Finding the Fourth Proportional to 3,685.16, 5,092.00 and 2,945.23

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Solution

The fourth proportional to 3,685.16, 5,092.00 and 2,945.23 is: 4,069.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,685.16 : 5,092.00 = 2,945.23 : x
  2. Step 2: Convert to fraction form
    3,685.16/5,092.00 = 2,945.23/x
  3. Step 3: Cross multiply
    3,685.16x = 5,092.00 × 2,945.23
  4. Step 4: Simplify right side
    3,685.16x = 14,997,091.07
  5. Step 5: Solve for x
    x = 14,997,091.07/3,685.16
  6. Step 6: Final answer
    x = 4,069.59

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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.