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Finding the Fourth Proportional to 5,270.88, 7,903.68 and 1,759.68

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Solution

The fourth proportional to 5,270.88, 7,903.68 and 1,759.68 is: 2,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.88 : 7,903.68 = 1,759.68 : x
  2. Step 2: Convert to fraction form
    5,270.88/7,903.68 = 1,759.68/x
  3. Step 3: Cross multiply
    5,270.88x = 7,903.68 × 1,759.68
  4. Step 4: Simplify right side
    5,270.88x = 13,907,947.62
  5. Step 5: Solve for x
    x = 13,907,947.62/5,270.88
  6. Step 6: Final answer
    x = 2,638.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.