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Finding the Fourth Proportional to 5,405.43, 8,108.99 and 1,456.84

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Solution

The fourth proportional to 5,405.43, 8,108.99 and 1,456.84 is: 2,185.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.43 : 8,108.99 = 1,456.84 : x
  2. Step 2: Convert to fraction form
    5,405.43/8,108.99 = 1,456.84/x
  3. Step 3: Cross multiply
    5,405.43x = 8,108.99 × 1,456.84
  4. Step 4: Simplify right side
    5,405.43x = 11,813,476.70
  5. Step 5: Solve for x
    x = 11,813,476.70/5,405.43
  6. Step 6: Final answer
    x = 2,185.49

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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.