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Finding the Fourth Proportional to 6,482.15, 9,723.20 and 2,589.29

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Solution

The fourth proportional to 6,482.15, 9,723.20 and 2,589.29 is: 3,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.15 : 9,723.20 = 2,589.29 : x
  2. Step 2: Convert to fraction form
    6,482.15/9,723.20 = 2,589.29/x
  3. Step 3: Cross multiply
    6,482.15x = 9,723.20 × 2,589.29
  4. Step 4: Simplify right side
    6,482.15x = 25,176,122.97
  5. Step 5: Solve for x
    x = 25,176,122.97/6,482.15
  6. Step 6: Final answer
    x = 3,883.92

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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.