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Finding the Fourth Proportional to 3,684.96, 5,084.46 and 2,193.39

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Solution

The fourth proportional to 3,684.96, 5,084.46 and 2,193.39 is: 3,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,684.96 : 5,084.46 = 2,193.39 : x
  2. Step 2: Convert to fraction form
    3,684.96/5,084.46 = 2,193.39/x
  3. Step 3: Cross multiply
    3,684.96x = 5,084.46 × 2,193.39
  4. Step 4: Simplify right side
    3,684.96x = 11,152,203.72
  5. Step 5: Solve for x
    x = 11,152,203.72/3,684.96
  6. Step 6: Final answer
    x = 3,026.41

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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.