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Finding the Fourth Proportional to 3,741.92, 5,609.04 and 1,792.64

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Solution

The fourth proportional to 3,741.92, 5,609.04 and 1,792.64 is: 2,687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,741.92 : 5,609.04 = 1,792.64 : x
  2. Step 2: Convert to fraction form
    3,741.92/5,609.04 = 1,792.64/x
  3. Step 3: Cross multiply
    3,741.92x = 5,609.04 × 1,792.64
  4. Step 4: Simplify right side
    3,741.92x = 10,054,989.47
  5. Step 5: Solve for x
    x = 10,054,989.47/3,741.92
  6. Step 6: Final answer
    x = 2,687.12

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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.