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Finding the Fourth Proportional to 3,692.51, 5,540.97 and 1,470.94

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Solution

The fourth proportional to 3,692.51, 5,540.97 and 1,470.94 is: 2,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.51 : 5,540.97 = 1,470.94 : x
  2. Step 2: Convert to fraction form
    3,692.51/5,540.97 = 1,470.94/x
  3. Step 3: Cross multiply
    3,692.51x = 5,540.97 × 1,470.94
  4. Step 4: Simplify right side
    3,692.51x = 8,150,434.41
  5. Step 5: Solve for x
    x = 8,150,434.41/3,692.51
  6. Step 6: Final answer
    x = 2,207.29

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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.