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Finding the Fourth Proportional to 3,756.74, 5,182.83 and 2,162.84

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Solution

The fourth proportional to 3,756.74, 5,182.83 and 2,162.84 is: 2,983.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.74 : 5,182.83 = 2,162.84 : x
  2. Step 2: Convert to fraction form
    3,756.74/5,182.83 = 2,162.84/x
  3. Step 3: Cross multiply
    3,756.74x = 5,182.83 × 2,162.84
  4. Step 4: Simplify right side
    3,756.74x = 11,209,606.12
  5. Step 5: Solve for x
    x = 11,209,606.12/3,756.74
  6. Step 6: Final answer
    x = 2,983.87

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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.