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Finding the Fourth Proportional to 4,762.23, 6,571.74 and 2,772.75

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Solution

The fourth proportional to 4,762.23, 6,571.74 and 2,772.75 is: 3,826.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.23 : 6,571.74 = 2,772.75 : x
  2. Step 2: Convert to fraction form
    4,762.23/6,571.74 = 2,772.75/x
  3. Step 3: Cross multiply
    4,762.23x = 6,571.74 × 2,772.75
  4. Step 4: Simplify right side
    4,762.23x = 18,221,792.09
  5. Step 5: Solve for x
    x = 18,221,792.09/4,762.23
  6. Step 6: Final answer
    x = 3,826.32

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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.