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Finding the Fourth Proportional to 3,985.64, 5,976.38 and 1,792.49

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Solution

The fourth proportional to 3,985.64, 5,976.38 and 1,792.49 is: 2,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,985.64 : 5,976.38 = 1,792.49 : x
  2. Step 2: Convert to fraction form
    3,985.64/5,976.38 = 1,792.49/x
  3. Step 3: Cross multiply
    3,985.64x = 5,976.38 × 1,792.49
  4. Step 4: Simplify right side
    3,985.64x = 10,712,562.54
  5. Step 5: Solve for x
    x = 10,712,562.54/3,985.64
  6. Step 6: Final answer
    x = 2,687.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.