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Finding the Fourth Proportional to 4,125.30, 5,692.92 and 2,262.30

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Solution

The fourth proportional to 4,125.30, 5,692.92 and 2,262.30 is: 3,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.30 : 5,692.92 = 2,262.30 : x
  2. Step 2: Convert to fraction form
    4,125.30/5,692.92 = 2,262.30/x
  3. Step 3: Cross multiply
    4,125.30x = 5,692.92 × 2,262.30
  4. Step 4: Simplify right side
    4,125.30x = 12,879,092.92
  5. Step 5: Solve for x
    x = 12,879,092.92/4,125.30
  6. Step 6: Final answer
    x = 3,121.98

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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.