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Finding the Fourth Proportional to 5,795.44, 8,691.84 and 1,635.86

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Solution

The fourth proportional to 5,795.44, 8,691.84 and 1,635.86 is: 2,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,795.44 : 8,691.84 = 1,635.86 : x
  2. Step 2: Convert to fraction form
    5,795.44/8,691.84 = 1,635.86/x
  3. Step 3: Cross multiply
    5,795.44x = 8,691.84 × 1,635.86
  4. Step 4: Simplify right side
    5,795.44x = 14,218,655.11
  5. Step 5: Solve for x
    x = 14,218,655.11/5,795.44
  6. Step 6: Final answer
    x = 2,453.42

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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.