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Finding the Fourth Proportional to 3,439.80, 5,159.70 and 3,264.50

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Solution

The fourth proportional to 3,439.80, 5,159.70 and 3,264.50 is: 4,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,439.80 : 5,159.70 = 3,264.50 : x
  2. Step 2: Convert to fraction form
    3,439.80/5,159.70 = 3,264.50/x
  3. Step 3: Cross multiply
    3,439.80x = 5,159.70 × 3,264.50
  4. Step 4: Simplify right side
    3,439.80x = 16,843,834.20
  5. Step 5: Solve for x
    x = 16,843,834.20/3,439.80
  6. Step 6: Final answer
    x = 4,896.75

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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.