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Finding the Fourth Proportional to 3,474.01, 5,206.50 and 2,649.25

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Solution

The fourth proportional to 3,474.01, 5,206.50 and 2,649.25 is: 3,970.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.01 : 5,206.50 = 2,649.25 : x
  2. Step 2: Convert to fraction form
    3,474.01/5,206.50 = 2,649.25/x
  3. Step 3: Cross multiply
    3,474.01x = 5,206.50 × 2,649.25
  4. Step 4: Simplify right side
    3,474.01x = 13,793,306.88
  5. Step 5: Solve for x
    x = 13,793,306.88/3,474.01
  6. Step 6: Final answer
    x = 3,970.43

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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.