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Finding the Fourth Proportional to 3,470.49, 5,200.23 and 2,692.35

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Solution

The fourth proportional to 3,470.49, 5,200.23 and 2,692.35 is: 4,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.49 : 5,200.23 = 2,692.35 : x
  2. Step 2: Convert to fraction form
    3,470.49/5,200.23 = 2,692.35/x
  3. Step 3: Cross multiply
    3,470.49x = 5,200.23 × 2,692.35
  4. Step 4: Simplify right side
    3,470.49x = 14,000,839.24
  5. Step 5: Solve for x
    x = 14,000,839.24/3,470.49
  6. Step 6: Final answer
    x = 4,034.25

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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.