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Finding the Fourth Proportional to 3,792.96, 5,681.76 and 2,553.84

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Solution

The fourth proportional to 3,792.96, 5,681.76 and 2,553.84 is: 3,825.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.96 : 5,681.76 = 2,553.84 : x
  2. Step 2: Convert to fraction form
    3,792.96/5,681.76 = 2,553.84/x
  3. Step 3: Cross multiply
    3,792.96x = 5,681.76 × 2,553.84
  4. Step 4: Simplify right side
    3,792.96x = 14,510,305.96
  5. Step 5: Solve for x
    x = 14,510,305.96/3,792.96
  6. Step 6: Final answer
    x = 3,825.59

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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.