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Finding the Fourth Proportional to 3,596.50, 4,963.17 and 2,024.65

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Solution

The fourth proportional to 3,596.50, 4,963.17 and 2,024.65 is: 2,794.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.50 : 4,963.17 = 2,024.65 : x
  2. Step 2: Convert to fraction form
    3,596.50/4,963.17 = 2,024.65/x
  3. Step 3: Cross multiply
    3,596.50x = 4,963.17 × 2,024.65
  4. Step 4: Simplify right side
    3,596.50x = 10,048,682.14
  5. Step 5: Solve for x
    x = 10,048,682.14/3,596.50
  6. Step 6: Final answer
    x = 2,794.02

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