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Finding the Fourth Proportional to 5,542.84, 8,311.83 and 2,945.17

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Solution

The fourth proportional to 5,542.84, 8,311.83 and 2,945.17 is: 4,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,542.84 : 8,311.83 = 2,945.17 : x
  2. Step 2: Convert to fraction form
    5,542.84/8,311.83 = 2,945.17/x
  3. Step 3: Cross multiply
    5,542.84x = 8,311.83 × 2,945.17
  4. Step 4: Simplify right side
    5,542.84x = 24,479,752.36
  5. Step 5: Solve for x
    x = 24,479,752.36/5,542.84
  6. Step 6: Final answer
    x = 4,416.46

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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.