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Finding the Fourth Proportional to 3,719.69, 5,133.24 and 2,227.60

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Solution

The fourth proportional to 3,719.69, 5,133.24 and 2,227.60 is: 3,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,719.69 : 5,133.24 = 2,227.60 : x
  2. Step 2: Convert to fraction form
    3,719.69/5,133.24 = 2,227.60/x
  3. Step 3: Cross multiply
    3,719.69x = 5,133.24 × 2,227.60
  4. Step 4: Simplify right side
    3,719.69x = 11,434,811.84
  5. Step 5: Solve for x
    x = 11,434,811.84/3,719.69
  6. Step 6: Final answer
    x = 3,074.13

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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.