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Finding the Fourth Proportional to 5,771.66, 7,969.62 and 3,650.63

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Solution

The fourth proportional to 5,771.66, 7,969.62 and 3,650.63 is: 5,040.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.66 : 7,969.62 = 3,650.63 : x
  2. Step 2: Convert to fraction form
    5,771.66/7,969.62 = 3,650.63/x
  3. Step 3: Cross multiply
    5,771.66x = 7,969.62 × 3,650.63
  4. Step 4: Simplify right side
    5,771.66x = 29,094,094.01
  5. Step 5: Solve for x
    x = 29,094,094.01/5,771.66
  6. Step 6: Final answer
    x = 5,040.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.