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Finding the Fourth Proportional to 3,793.19, 5,692.31 and 1,328.01

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Solution

The fourth proportional to 3,793.19, 5,692.31 and 1,328.01 is: 1,992.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.19 : 5,692.31 = 1,328.01 : x
  2. Step 2: Convert to fraction form
    3,793.19/5,692.31 = 1,328.01/x
  3. Step 3: Cross multiply
    3,793.19x = 5,692.31 × 1,328.01
  4. Step 4: Simplify right side
    3,793.19x = 7,559,416.14
  5. Step 5: Solve for x
    x = 7,559,416.14/3,793.19
  6. Step 6: Final answer
    x = 1,992.89

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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.