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Finding the Fourth Proportional to 5,750.64, 7,935.87 and 3,266.64

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Solution

The fourth proportional to 5,750.64, 7,935.87 and 3,266.64 is: 4,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,750.64 : 7,935.87 = 3,266.64 : x
  2. Step 2: Convert to fraction form
    5,750.64/7,935.87 = 3,266.64/x
  3. Step 3: Cross multiply
    5,750.64x = 7,935.87 × 3,266.64
  4. Step 4: Simplify right side
    5,750.64x = 25,923,630.38
  5. Step 5: Solve for x
    x = 25,923,630.38/5,750.64
  6. Step 6: Final answer
    x = 4,507.96

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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.