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Finding the Fourth Proportional to 4,640.16, 6,961.92 and 2,448.96

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Solution

The fourth proportional to 4,640.16, 6,961.92 and 2,448.96 is: 3,674.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.16 : 6,961.92 = 2,448.96 : x
  2. Step 2: Convert to fraction form
    4,640.16/6,961.92 = 2,448.96/x
  3. Step 3: Cross multiply
    4,640.16x = 6,961.92 × 2,448.96
  4. Step 4: Simplify right side
    4,640.16x = 17,049,463.60
  5. Step 5: Solve for x
    x = 17,049,463.60/4,640.16
  6. Step 6: Final answer
    x = 3,674.33

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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.