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Finding the Fourth Proportional to 4,494.86, 6,733.34 and 3,516.38

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Solution

The fourth proportional to 4,494.86, 6,733.34 and 3,516.38 is: 5,267.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,494.86 : 6,733.34 = 3,516.38 : x
  2. Step 2: Convert to fraction form
    4,494.86/6,733.34 = 3,516.38/x
  3. Step 3: Cross multiply
    4,494.86x = 6,733.34 × 3,516.38
  4. Step 4: Simplify right side
    4,494.86x = 23,676,982.11
  5. Step 5: Solve for x
    x = 23,676,982.11/4,494.86
  6. Step 6: Final answer
    x = 5,267.57

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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.