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Finding the Fourth Proportional to 4,762.35, 6,571.71 and 2,772.81

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Solution

The fourth proportional to 4,762.35, 6,571.71 and 2,772.81 is: 3,826.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.35 : 6,571.71 = 2,772.81 : x
  2. Step 2: Convert to fraction form
    4,762.35/6,571.71 = 2,772.81/x
  3. Step 3: Cross multiply
    4,762.35x = 6,571.71 × 2,772.81
  4. Step 4: Simplify right side
    4,762.35x = 18,222,103.21
  5. Step 5: Solve for x
    x = 18,222,103.21/4,762.35
  6. Step 6: Final answer
    x = 3,826.28

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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.