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Finding the Fourth Proportional to 5,797.69, 8,695.22 and 1,638.11

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Solution

The fourth proportional to 5,797.69, 8,695.22 and 1,638.11 is: 2,456.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.69 : 8,695.22 = 1,638.11 : x
  2. Step 2: Convert to fraction form
    5,797.69/8,695.22 = 1,638.11/x
  3. Step 3: Cross multiply
    5,797.69x = 8,695.22 × 1,638.11
  4. Step 4: Simplify right side
    5,797.69x = 14,243,740.38
  5. Step 5: Solve for x
    x = 14,243,740.38/5,797.69
  6. Step 6: Final answer
    x = 2,456.80

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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.