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Finding the Fourth Proportional to 3,756.46, 5,183.51 and 2,077.60

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Solution

The fourth proportional to 3,756.46, 5,183.51 and 2,077.60 is: 2,866.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.46 : 5,183.51 = 2,077.60 : x
  2. Step 2: Convert to fraction form
    3,756.46/5,183.51 = 2,077.60/x
  3. Step 3: Cross multiply
    3,756.46x = 5,183.51 × 2,077.60
  4. Step 4: Simplify right side
    3,756.46x = 10,769,252.61
  5. Step 5: Solve for x
    x = 10,769,252.61/3,756.46
  6. Step 6: Final answer
    x = 2,866.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.