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Finding the Fourth Proportional to 5,562.54, 8,342.82 and 2,786.22

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Solution

The fourth proportional to 5,562.54, 8,342.82 and 2,786.22 is: 4,178.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.54 : 8,342.82 = 2,786.22 : x
  2. Step 2: Convert to fraction form
    5,562.54/8,342.82 = 2,786.22/x
  3. Step 3: Cross multiply
    5,562.54x = 8,342.82 × 2,786.22
  4. Step 4: Simplify right side
    5,562.54x = 23,244,931.94
  5. Step 5: Solve for x
    x = 23,244,931.94/5,562.54
  6. Step 6: Final answer
    x = 4,178.83

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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.