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Finding the Fourth Proportional to 4,640.91, 6,953.24 and 3,865.88

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Solution

The fourth proportional to 4,640.91, 6,953.24 and 3,865.88 is: 5,792.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.91 : 6,953.24 = 3,865.88 : x
  2. Step 2: Convert to fraction form
    4,640.91/6,953.24 = 3,865.88/x
  3. Step 3: Cross multiply
    4,640.91x = 6,953.24 × 3,865.88
  4. Step 4: Simplify right side
    4,640.91x = 26,880,337.36
  5. Step 5: Solve for x
    x = 26,880,337.36/4,640.91
  6. Step 6: Final answer
    x = 5,792.04

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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.