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Finding the Fourth Proportional to 4,792.38, 6,614.10 and 2,696.91

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Solution

The fourth proportional to 4,792.38, 6,614.10 and 2,696.91 is: 3,722.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,792.38 : 6,614.10 = 2,696.91 : x
  2. Step 2: Convert to fraction form
    4,792.38/6,614.10 = 2,696.91/x
  3. Step 3: Cross multiply
    4,792.38x = 6,614.10 × 2,696.91
  4. Step 4: Simplify right side
    4,792.38x = 17,837,632.43
  5. Step 5: Solve for x
    x = 17,837,632.43/4,792.38
  6. Step 6: Final answer
    x = 3,722.08

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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.