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Finding the Fourth Proportional to 3,782.15, 5,674.03 and 1,589.61

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Solution

The fourth proportional to 3,782.15, 5,674.03 and 1,589.61 is: 2,384.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.15 : 5,674.03 = 1,589.61 : x
  2. Step 2: Convert to fraction form
    3,782.15/5,674.03 = 1,589.61/x
  3. Step 3: Cross multiply
    3,782.15x = 5,674.03 × 1,589.61
  4. Step 4: Simplify right side
    3,782.15x = 9,019,490.85
  5. Step 5: Solve for x
    x = 9,019,490.85/3,782.15
  6. Step 6: Final answer
    x = 2,384.76

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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.