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Finding the Fourth Proportional to 4,762.43, 6,584.70 and 4,171.27

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Solution

The fourth proportional to 4,762.43, 6,584.70 and 4,171.27 is: 5,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.43 : 6,584.70 = 4,171.27 : x
  2. Step 2: Convert to fraction form
    4,762.43/6,584.70 = 4,171.27/x
  3. Step 3: Cross multiply
    4,762.43x = 6,584.70 × 4,171.27
  4. Step 4: Simplify right side
    4,762.43x = 27,466,561.57
  5. Step 5: Solve for x
    x = 27,466,561.57/4,762.43
  6. Step 6: Final answer
    x = 5,767.34

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