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Finding the Fourth Proportional to 3,404.76, 5,107.68 and 1,456.80

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Solution

The fourth proportional to 3,404.76, 5,107.68 and 1,456.80 is: 2,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.76 : 5,107.68 = 1,456.80 : x
  2. Step 2: Convert to fraction form
    3,404.76/5,107.68 = 1,456.80/x
  3. Step 3: Cross multiply
    3,404.76x = 5,107.68 × 1,456.80
  4. Step 4: Simplify right side
    3,404.76x = 7,440,868.22
  5. Step 5: Solve for x
    x = 7,440,868.22/3,404.76
  6. Step 6: Final answer
    x = 2,185.43

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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.