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Finding the Fourth Proportional to 5,638.86, 7,781.40 and 3,280.82

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Solution

The fourth proportional to 5,638.86, 7,781.40 and 3,280.82 is: 4,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.86 : 7,781.40 = 3,280.82 : x
  2. Step 2: Convert to fraction form
    5,638.86/7,781.40 = 3,280.82/x
  3. Step 3: Cross multiply
    5,638.86x = 7,781.40 × 3,280.82
  4. Step 4: Simplify right side
    5,638.86x = 25,529,333.84
  5. Step 5: Solve for x
    x = 25,529,333.84/5,638.86
  6. Step 6: Final answer
    x = 4,527.39

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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.