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Finding the Fourth Proportional to 4,381.50, 6,572.01 and 1,786.62

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Solution

The fourth proportional to 4,381.50, 6,572.01 and 1,786.62 is: 2,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381.50 : 6,572.01 = 1,786.62 : x
  2. Step 2: Convert to fraction form
    4,381.50/6,572.01 = 1,786.62/x
  3. Step 3: Cross multiply
    4,381.50x = 6,572.01 × 1,786.62
  4. Step 4: Simplify right side
    4,381.50x = 11,741,684.51
  5. Step 5: Solve for x
    x = 11,741,684.51/4,381.50
  6. Step 6: Final answer
    x = 2,679.83

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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.