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Finding the Fourth Proportional to 3,756.71, 5,183.86 and 2,077.85

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Solution

The fourth proportional to 3,756.71, 5,183.86 and 2,077.85 is: 2,867.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.71 : 5,183.86 = 2,077.85 : x
  2. Step 2: Convert to fraction form
    3,756.71/5,183.86 = 2,077.85/x
  3. Step 3: Cross multiply
    3,756.71x = 5,183.86 × 2,077.85
  4. Step 4: Simplify right side
    3,756.71x = 10,771,283.50
  5. Step 5: Solve for x
    x = 10,771,283.50/3,756.71
  6. Step 6: Final answer
    x = 2,867.21

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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.