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Finding the Fourth Proportional to 3,340.80, 4,446.27 and 3,340.80

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Solution

The fourth proportional to 3,340.80, 4,446.27 and 3,340.80 is: 4,446.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.80 : 4,446.27 = 3,340.80 : x
  2. Step 2: Convert to fraction form
    3,340.80/4,446.27 = 3,340.80/x
  3. Step 3: Cross multiply
    3,340.80x = 4,446.27 × 3,340.80
  4. Step 4: Simplify right side
    3,340.80x = 14,854,098.82
  5. Step 5: Solve for x
    x = 14,854,098.82/3,340.80
  6. Step 6: Final answer
    x = 4,446.27

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.