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Finding the Fourth Proportional to 5,392.01, 8,089.15 and 1,694.61

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Solution

The fourth proportional to 5,392.01, 8,089.15 and 1,694.61 is: 2,542.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.01 : 8,089.15 = 1,694.61 : x
  2. Step 2: Convert to fraction form
    5,392.01/8,089.15 = 1,694.61/x
  3. Step 3: Cross multiply
    5,392.01x = 8,089.15 × 1,694.61
  4. Step 4: Simplify right side
    5,392.01x = 13,707,954.48
  5. Step 5: Solve for x
    x = 13,707,954.48/5,392.01
  6. Step 6: Final answer
    x = 2,542.27

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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.