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Finding the Fourth Proportional to 3,606.71, 4,976.87 and 2,114.33

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Solution

The fourth proportional to 3,606.71, 4,976.87 and 2,114.33 is: 2,917.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.71 : 4,976.87 = 2,114.33 : x
  2. Step 2: Convert to fraction form
    3,606.71/4,976.87 = 2,114.33/x
  3. Step 3: Cross multiply
    3,606.71x = 4,976.87 × 2,114.33
  4. Step 4: Simplify right side
    3,606.71x = 10,522,710.09
  5. Step 5: Solve for x
    x = 10,522,710.09/3,606.71
  6. Step 6: Final answer
    x = 2,917.54

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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.