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Finding the Fourth Proportional to 3,474.26, 5,206.87 and 2,649.50

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Solution

The fourth proportional to 3,474.26, 5,206.87 and 2,649.50 is: 3,970.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.26 : 5,206.87 = 2,649.50 : x
  2. Step 2: Convert to fraction form
    3,474.26/5,206.87 = 2,649.50/x
  3. Step 3: Cross multiply
    3,474.26x = 5,206.87 × 2,649.50
  4. Step 4: Simplify right side
    3,474.26x = 13,795,602.07
  5. Step 5: Solve for x
    x = 13,795,602.07/3,474.26
  6. Step 6: Final answer
    x = 3,970.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.