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Finding the Fourth Proportional to 3,627.71, 5,004.55 and 2,134.68

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Solution

The fourth proportional to 3,627.71, 5,004.55 and 2,134.68 is: 2,944.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.71 : 5,004.55 = 2,134.68 : x
  2. Step 2: Convert to fraction form
    3,627.71/5,004.55 = 2,134.68/x
  3. Step 3: Cross multiply
    3,627.71x = 5,004.55 × 2,134.68
  4. Step 4: Simplify right side
    3,627.71x = 10,683,112.79
  5. Step 5: Solve for x
    x = 10,683,112.79/3,627.71
  6. Step 6: Final answer
    x = 2,944.86

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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.