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Finding the Fourth Proportional to 5,786.38, 8,677.76 and 2,088.12

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Solution

The fourth proportional to 5,786.38, 8,677.76 and 2,088.12 is: 3,131.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,786.38 : 8,677.76 = 2,088.12 : x
  2. Step 2: Convert to fraction form
    5,786.38/8,677.76 = 2,088.12/x
  3. Step 3: Cross multiply
    5,786.38x = 8,677.76 × 2,088.12
  4. Step 4: Simplify right side
    5,786.38x = 18,120,209.43
  5. Step 5: Solve for x
    x = 18,120,209.43/5,786.38
  6. Step 6: Final answer
    x = 3,131.53

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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.