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Finding the Fourth Proportional to 3,407.94, 5,110.83 and 1,763.37

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Solution

The fourth proportional to 3,407.94, 5,110.83 and 1,763.37 is: 2,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.94 : 5,110.83 = 1,763.37 : x
  2. Step 2: Convert to fraction form
    3,407.94/5,110.83 = 1,763.37/x
  3. Step 3: Cross multiply
    3,407.94x = 5,110.83 × 1,763.37
  4. Step 4: Simplify right side
    3,407.94x = 9,012,284.30
  5. Step 5: Solve for x
    x = 9,012,284.30/3,407.94
  6. Step 6: Final answer
    x = 2,644.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.