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Finding the Fourth Proportional to 5,778.88, 8,666.46 and 1,882.38

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Solution

The fourth proportional to 5,778.88, 8,666.46 and 1,882.38 is: 2,822.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.88 : 8,666.46 = 1,882.38 : x
  2. Step 2: Convert to fraction form
    5,778.88/8,666.46 = 1,882.38/x
  3. Step 3: Cross multiply
    5,778.88x = 8,666.46 × 1,882.38
  4. Step 4: Simplify right side
    5,778.88x = 16,313,527.64
  5. Step 5: Solve for x
    x = 16,313,527.64/5,778.88
  6. Step 6: Final answer
    x = 2,822.96

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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.