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Finding the Fourth Proportional to 5,000.82, 7,504.47 and 2,813.82

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Solution

The fourth proportional to 5,000.82, 7,504.47 and 2,813.82 is: 4,222.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,000.82 : 7,504.47 = 2,813.82 : x
  2. Step 2: Convert to fraction form
    5,000.82/7,504.47 = 2,813.82/x
  3. Step 3: Cross multiply
    5,000.82x = 7,504.47 × 2,813.82
  4. Step 4: Simplify right side
    5,000.82x = 21,116,227.78
  5. Step 5: Solve for x
    x = 21,116,227.78/5,000.82
  6. Step 6: Final answer
    x = 4,222.55

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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.