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Finding the Fourth Proportional to 5,706.97, 7,866.21 and 3,817.88

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Solution

The fourth proportional to 5,706.97, 7,866.21 and 3,817.88 is: 5,262.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.97 : 7,866.21 = 3,817.88 : x
  2. Step 2: Convert to fraction form
    5,706.97/7,866.21 = 3,817.88/x
  3. Step 3: Cross multiply
    5,706.97x = 7,866.21 × 3,817.88
  4. Step 4: Simplify right side
    5,706.97x = 30,032,294.57
  5. Step 5: Solve for x
    x = 30,032,294.57/5,706.97
  6. Step 6: Final answer
    x = 5,262.39

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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.