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Finding the Fourth Proportional to 4,770.61, 6,584.38 and 2,781.48

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Solution

The fourth proportional to 4,770.61, 6,584.38 and 2,781.48 is: 3,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.61 : 6,584.38 = 2,781.48 : x
  2. Step 2: Convert to fraction form
    4,770.61/6,584.38 = 2,781.48/x
  3. Step 3: Cross multiply
    4,770.61x = 6,584.38 × 2,781.48
  4. Step 4: Simplify right side
    4,770.61x = 18,314,321.28
  5. Step 5: Solve for x
    x = 18,314,321.28/4,770.61
  6. Step 6: Final answer
    x = 3,838.99

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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.