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Finding the Fourth Proportional to 3,902.93, 5,385.40 and 2,224.37

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Solution

The fourth proportional to 3,902.93, 5,385.40 and 2,224.37 is: 3,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.93 : 5,385.40 = 2,224.37 : x
  2. Step 2: Convert to fraction form
    3,902.93/5,385.40 = 2,224.37/x
  3. Step 3: Cross multiply
    3,902.93x = 5,385.40 × 2,224.37
  4. Step 4: Simplify right side
    3,902.93x = 11,979,122.20
  5. Step 5: Solve for x
    x = 11,979,122.20/3,902.93
  6. Step 6: Final answer
    x = 3,069.26

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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.