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Finding the Fourth Proportional to 3,752.70, 5,178.86 and 2,180.71

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Solution

The fourth proportional to 3,752.70, 5,178.86 and 2,180.71 is: 3,009.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.70 : 5,178.86 = 2,180.71 : x
  2. Step 2: Convert to fraction form
    3,752.70/5,178.86 = 2,180.71/x
  3. Step 3: Cross multiply
    3,752.70x = 5,178.86 × 2,180.71
  4. Step 4: Simplify right side
    3,752.70x = 11,293,591.79
  5. Step 5: Solve for x
    x = 11,293,591.79/3,752.70
  6. Step 6: Final answer
    x = 3,009.46

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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.