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Finding the Fourth Proportional to 5,786.56, 8,677.68 and 1,889.92

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Solution

The fourth proportional to 5,786.56, 8,677.68 and 1,889.92 is: 2,834.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.56 : 8,677.68 = 1,889.92 : x
  2. Step 2: Convert to fraction form
    5,786.56/8,677.68 = 1,889.92/x
  3. Step 3: Cross multiply
    5,786.56x = 8,677.68 × 1,889.92
  4. Step 4: Simplify right side
    5,786.56x = 16,400,120.99
  5. Step 5: Solve for x
    x = 16,400,120.99/5,786.56
  6. Step 6: Final answer
    x = 2,834.17

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1.5x scale

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.