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Finding the Fourth Proportional to 4,125.25, 5,692.98 and 2,262.25

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Solution

The fourth proportional to 4,125.25, 5,692.98 and 2,262.25 is: 3,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,125.25 : 5,692.98 = 2,262.25 : x
  2. Step 2: Convert to fraction form
    4,125.25/5,692.98 = 2,262.25/x
  3. Step 3: Cross multiply
    4,125.25x = 5,692.98 × 2,262.25
  4. Step 4: Simplify right side
    4,125.25x = 12,878,944.01
  5. Step 5: Solve for x
    x = 12,878,944.01/4,125.25
  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.