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Finding the Fourth Proportional to 3,794.48, 5,692.20 and 1,330.76

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Solution

The fourth proportional to 3,794.48, 5,692.20 and 1,330.76 is: 1,996.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.48 : 5,692.20 = 1,330.76 : x
  2. Step 2: Convert to fraction form
    3,794.48/5,692.20 = 1,330.76/x
  3. Step 3: Cross multiply
    3,794.48x = 5,692.20 × 1,330.76
  4. Step 4: Simplify right side
    3,794.48x = 7,574,952.07
  5. Step 5: Solve for x
    x = 7,574,952.07/3,794.48
  6. Step 6: Final answer
    x = 1,996.31

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