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Finding the Fourth Proportional to 3,817.80, 5,265.67 and 3,287.59

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Solution

The fourth proportional to 3,817.80, 5,265.67 and 3,287.59 is: 4,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.80 : 5,265.67 = 3,287.59 : x
  2. Step 2: Convert to fraction form
    3,817.80/5,265.67 = 3,287.59/x
  3. Step 3: Cross multiply
    3,817.80x = 5,265.67 × 3,287.59
  4. Step 4: Simplify right side
    3,817.80x = 17,311,364.04
  5. Step 5: Solve for x
    x = 17,311,364.04/3,817.80
  6. Step 6: Final answer
    x = 4,534.38

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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.