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Finding the Fourth Proportional to 3,596.29, 4,962.87 and 2,024.38

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Solution

The fourth proportional to 3,596.29, 4,962.87 and 2,024.38 is: 2,793.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,596.29 : 4,962.87 = 2,024.38 : x
  2. Step 2: Convert to fraction form
    3,596.29/4,962.87 = 2,024.38/x
  3. Step 3: Cross multiply
    3,596.29x = 4,962.87 × 2,024.38
  4. Step 4: Simplify right side
    3,596.29x = 10,046,734.77
  5. Step 5: Solve for x
    x = 10,046,734.77/3,596.29
  6. Step 6: Final answer
    x = 2,793.64

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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.