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Finding the Fourth Proportional to 5,662.85, 8,491.73 and 3,029.90

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Solution

The fourth proportional to 5,662.85, 8,491.73 and 3,029.90 is: 4,543.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.85 : 8,491.73 = 3,029.90 : x
  2. Step 2: Convert to fraction form
    5,662.85/8,491.73 = 3,029.90/x
  3. Step 3: Cross multiply
    5,662.85x = 8,491.73 × 3,029.90
  4. Step 4: Simplify right side
    5,662.85x = 25,729,035.12
  5. Step 5: Solve for x
    x = 25,729,035.12/5,662.85
  6. Step 6: Final answer
    x = 4,543.48

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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.