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Finding the Fourth Proportional to 6,445.92, 8,894.94 and 3,792.81

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Solution

The fourth proportional to 6,445.92, 8,894.94 and 3,792.81 is: 5,233.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.92 : 8,894.94 = 3,792.81 : x
  2. Step 2: Convert to fraction form
    6,445.92/8,894.94 = 3,792.81/x
  3. Step 3: Cross multiply
    6,445.92x = 8,894.94 × 3,792.81
  4. Step 4: Simplify right side
    6,445.92x = 33,736,817.38
  5. Step 5: Solve for x
    x = 33,736,817.38/6,445.92
  6. Step 6: Final answer
    x = 5,233.83

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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.