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Finding the Fourth Proportional to 5,789.22, 7,985.16 and 3,692.40

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Solution

The fourth proportional to 5,789.22, 7,985.16 and 3,692.40 is: 5,092.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.22 : 7,985.16 = 3,692.40 : x
  2. Step 2: Convert to fraction form
    5,789.22/7,985.16 = 3,692.40/x
  3. Step 3: Cross multiply
    5,789.22x = 7,985.16 × 3,692.40
  4. Step 4: Simplify right side
    5,789.22x = 29,484,404.78
  5. Step 5: Solve for x
    x = 29,484,404.78/5,789.22
  6. Step 6: Final answer
    x = 5,092.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.