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Finding the Fourth Proportional to 3,411.68, 5,119.26 and 1,411.85

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Solution

The fourth proportional to 3,411.68, 5,119.26 and 1,411.85 is: 2,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.68 : 5,119.26 = 1,411.85 : x
  2. Step 2: Convert to fraction form
    3,411.68/5,119.26 = 1,411.85/x
  3. Step 3: Cross multiply
    3,411.68x = 5,119.26 × 1,411.85
  4. Step 4: Simplify right side
    3,411.68x = 7,227,634.73
  5. Step 5: Solve for x
    x = 7,227,634.73/3,411.68
  6. Step 6: Final answer
    x = 2,118.50

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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.