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Finding the Fourth Proportional to 5,855.14, 8,782.67 and 2,389.96

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Solution

The fourth proportional to 5,855.14, 8,782.67 and 2,389.96 is: 3,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.14 : 8,782.67 = 2,389.96 : x
  2. Step 2: Convert to fraction form
    5,855.14/8,782.67 = 2,389.96/x
  3. Step 3: Cross multiply
    5,855.14x = 8,782.67 × 2,389.96
  4. Step 4: Simplify right side
    5,855.14x = 20,990,218.04
  5. Step 5: Solve for x
    x = 20,990,218.04/5,855.14
  6. Step 6: Final answer
    x = 3,584.92

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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.