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Finding the Fourth Proportional to 3,596.90, 4,964.41 and 2,024.99

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Solution

The fourth proportional to 3,596.90, 4,964.41 and 2,024.99 is: 2,794.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.90 : 4,964.41 = 2,024.99 : x
  2. Step 2: Convert to fraction form
    3,596.90/4,964.41 = 2,024.99/x
  3. Step 3: Cross multiply
    3,596.90x = 4,964.41 × 2,024.99
  4. Step 4: Simplify right side
    3,596.90x = 10,052,876.93
  5. Step 5: Solve for x
    x = 10,052,876.93/3,596.90
  6. Step 6: Final answer
    x = 2,794.88

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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.