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Finding the Fourth Proportional to 5,759.67, 7,947.27 and 3,402.18

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Solution

The fourth proportional to 5,759.67, 7,947.27 and 3,402.18 is: 4,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,759.67 : 7,947.27 = 3,402.18 : x
  2. Step 2: Convert to fraction form
    5,759.67/7,947.27 = 3,402.18/x
  3. Step 3: Cross multiply
    5,759.67x = 7,947.27 × 3,402.18
  4. Step 4: Simplify right side
    5,759.67x = 27,038,043.05
  5. Step 5: Solve for x
    x = 27,038,043.05/5,759.67
  6. Step 6: Final answer
    x = 4,694.37

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1.5x scale

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.