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Finding the Fourth Proportional to 3,792.60, 5,687.37 and 2,560.59

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Solution

The fourth proportional to 3,792.60, 5,687.37 and 2,560.59 is: 3,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.60 : 5,687.37 = 2,560.59 : x
  2. Step 2: Convert to fraction form
    3,792.60/5,687.37 = 2,560.59/x
  3. Step 3: Cross multiply
    3,792.60x = 5,687.37 × 2,560.59
  4. Step 4: Simplify right side
    3,792.60x = 14,563,022.75
  5. Step 5: Solve for x
    x = 14,563,022.75/3,792.60
  6. Step 6: Final answer
    x = 3,839.85

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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.