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Finding the Fourth Proportional to 5,311.46, 7,967.46 and 2,023.94

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Solution

The fourth proportional to 5,311.46, 7,967.46 and 2,023.94 is: 3,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.46 : 7,967.46 = 2,023.94 : x
  2. Step 2: Convert to fraction form
    5,311.46/7,967.46 = 2,023.94/x
  3. Step 3: Cross multiply
    5,311.46x = 7,967.46 × 2,023.94
  4. Step 4: Simplify right side
    5,311.46x = 16,125,660.99
  5. Step 5: Solve for x
    x = 16,125,660.99/5,311.46
  6. Step 6: Final answer
    x = 3,036.01

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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.