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Finding the Fourth Proportional to 4,596.42, 6,350.49 and 3,205.38

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Solution

The fourth proportional to 4,596.42, 6,350.49 and 3,205.38 is: 4,428.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.42 : 6,350.49 = 3,205.38 : x
  2. Step 2: Convert to fraction form
    4,596.42/6,350.49 = 3,205.38/x
  3. Step 3: Cross multiply
    4,596.42x = 6,350.49 × 3,205.38
  4. Step 4: Simplify right side
    4,596.42x = 20,355,733.64
  5. Step 5: Solve for x
    x = 20,355,733.64/4,596.42
  6. Step 6: Final answer
    x = 4,428.61

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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.