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Finding the Fourth Proportional to 3,968.68, 5,913.41 and 3,792.04

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Solution

The fourth proportional to 3,968.68, 5,913.41 and 3,792.04 is: 5,650.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.68 : 5,913.41 = 3,792.04 : x
  2. Step 2: Convert to fraction form
    3,968.68/5,913.41 = 3,792.04/x
  3. Step 3: Cross multiply
    3,968.68x = 5,913.41 × 3,792.04
  4. Step 4: Simplify right side
    3,968.68x = 22,423,887.26
  5. Step 5: Solve for x
    x = 22,423,887.26/3,968.68
  6. Step 6: Final answer
    x = 5,650.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.