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Finding the Fourth Proportional to 5,643.86, 8,462.74 and 1,694.58

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Solution

The fourth proportional to 5,643.86, 8,462.74 and 1,694.58 is: 2,540.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.86 : 8,462.74 = 1,694.58 : x
  2. Step 2: Convert to fraction form
    5,643.86/8,462.74 = 1,694.58/x
  3. Step 3: Cross multiply
    5,643.86x = 8,462.74 × 1,694.58
  4. Step 4: Simplify right side
    5,643.86x = 14,340,789.95
  5. Step 5: Solve for x
    x = 14,340,789.95/5,643.86
  6. Step 6: Final answer
    x = 2,540.95

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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.