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Finding the Fourth Proportional to 5,122.54, 7,069.02 and 2,884.41

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Solution

The fourth proportional to 5,122.54, 7,069.02 and 2,884.41 is: 3,980.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,122.54 : 7,069.02 = 2,884.41 : x
  2. Step 2: Convert to fraction form
    5,122.54/7,069.02 = 2,884.41/x
  3. Step 3: Cross multiply
    5,122.54x = 7,069.02 × 2,884.41
  4. Step 4: Simplify right side
    5,122.54x = 20,389,951.98
  5. Step 5: Solve for x
    x = 20,389,951.98/5,122.54
  6. Step 6: Final answer
    x = 3,980.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.