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Finding the Fourth Proportional to 5,311.59, 7,964.22 and 2,024.94

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Solution

The fourth proportional to 5,311.59, 7,964.22 and 2,024.94 is: 3,036.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.59 : 7,964.22 = 2,024.94 : x
  2. Step 2: Convert to fraction form
    5,311.59/7,964.22 = 2,024.94/x
  3. Step 3: Cross multiply
    5,311.59x = 7,964.22 × 2,024.94
  4. Step 4: Simplify right side
    5,311.59x = 16,127,067.65
  5. Step 5: Solve for x
    x = 16,127,067.65/5,311.59
  6. Step 6: Final answer
    x = 3,036.20

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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.