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Finding the Fourth Proportional to 5,759.62, 7,948.68 and 3,241.98

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Solution

The fourth proportional to 5,759.62, 7,948.68 and 3,241.98 is: 4,474.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.62 : 7,948.68 = 3,241.98 : x
  2. Step 2: Convert to fraction form
    5,759.62/7,948.68 = 3,241.98/x
  3. Step 3: Cross multiply
    5,759.62x = 7,948.68 × 3,241.98
  4. Step 4: Simplify right side
    5,759.62x = 25,769,461.59
  5. Step 5: Solve for x
    x = 25,769,461.59/5,759.62
  6. Step 6: Final answer
    x = 4,474.16

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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.