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Finding the Fourth Proportional to 3,902.98, 5,385.74 and 2,224.34

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Solution

The fourth proportional to 3,902.98, 5,385.74 and 2,224.34 is: 3,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.98 : 5,385.74 = 2,224.34 : x
  2. Step 2: Convert to fraction form
    3,902.98/5,385.74 = 2,224.34/x
  3. Step 3: Cross multiply
    3,902.98x = 5,385.74 × 2,224.34
  4. Step 4: Simplify right side
    3,902.98x = 11,979,719.25
  5. Step 5: Solve for x
    x = 11,979,719.25/3,902.98
  6. Step 6: Final answer
    x = 3,069.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.