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Finding the Fourth Proportional to 3,955.71, 5,458.89 and 2,277.09

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Solution

The fourth proportional to 3,955.71, 5,458.89 and 2,277.09 is: 3,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,955.71 : 5,458.89 = 2,277.09 : x
  2. Step 2: Convert to fraction form
    3,955.71/5,458.89 = 2,277.09/x
  3. Step 3: Cross multiply
    3,955.71x = 5,458.89 × 2,277.09
  4. Step 4: Simplify right side
    3,955.71x = 12,430,356.54
  5. Step 5: Solve for x
    x = 12,430,356.54/3,955.71
  6. Step 6: Final answer
    x = 3,142.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.