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Finding the Fourth Proportional to 5,722.70, 8,023.30 and 5,722.70

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Solution

The fourth proportional to 5,722.70, 8,023.30 and 5,722.70 is: 8,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.70 : 8,023.30 = 5,722.70 : x
  2. Step 2: Convert to fraction form
    5,722.70/8,023.30 = 5,722.70/x
  3. Step 3: Cross multiply
    5,722.70x = 8,023.30 × 5,722.70
  4. Step 4: Simplify right side
    5,722.70x = 45,914,938.91
  5. Step 5: Solve for x
    x = 45,914,938.91/5,722.70
  6. Step 6: Final answer
    x = 8,023.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.