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Finding the Fourth Proportional to 5,762.96, 7,950.12 and 3,772.64

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Solution

The fourth proportional to 5,762.96, 7,950.12 and 3,772.64 is: 5,204.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,762.96 : 7,950.12 = 3,772.64 : x
  2. Step 2: Convert to fraction form
    5,762.96/7,950.12 = 3,772.64/x
  3. Step 3: Cross multiply
    5,762.96x = 7,950.12 × 3,772.64
  4. Step 4: Simplify right side
    5,762.96x = 29,992,940.72
  5. Step 5: Solve for x
    x = 29,992,940.72/5,762.96
  6. Step 6: Final answer
    x = 5,204.43

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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.