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Finding the Fourth Proportional to 5,795.92, 8,694.41 and 1,635.99

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Solution

The fourth proportional to 5,795.92, 8,694.41 and 1,635.99 is: 2,454.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.92 : 8,694.41 = 1,635.99 : x
  2. Step 2: Convert to fraction form
    5,795.92/8,694.41 = 1,635.99/x
  3. Step 3: Cross multiply
    5,795.92x = 8,694.41 × 1,635.99
  4. Step 4: Simplify right side
    5,795.92x = 14,223,967.82
  5. Step 5: Solve for x
    x = 14,223,967.82/5,795.92
  6. Step 6: Final answer
    x = 2,454.13

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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.