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Finding the Fourth Proportional to 6,463.96, 8,920.54 and 3,669.72

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Solution

The fourth proportional to 6,463.96, 8,920.54 and 3,669.72 is: 5,064.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.96 : 8,920.54 = 3,669.72 : x
  2. Step 2: Convert to fraction form
    6,463.96/8,920.54 = 3,669.72/x
  3. Step 3: Cross multiply
    6,463.96x = 8,920.54 × 3,669.72
  4. Step 4: Simplify right side
    6,463.96x = 32,735,884.05
  5. Step 5: Solve for x
    x = 32,735,884.05/6,463.96
  6. Step 6: Final answer
    x = 5,064.37

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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.