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Finding the Fourth Proportional to 4,776.63, 6,591.74 and 2,786.81

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Solution

The fourth proportional to 4,776.63, 6,591.74 and 2,786.81 is: 3,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,776.63 : 6,591.74 = 2,786.81 : x
  2. Step 2: Convert to fraction form
    4,776.63/6,591.74 = 2,786.81/x
  3. Step 3: Cross multiply
    4,776.63x = 6,591.74 × 2,786.81
  4. Step 4: Simplify right side
    4,776.63x = 18,369,899.65
  5. Step 5: Solve for x
    x = 18,369,899.65/4,776.63
  6. Step 6: Final answer
    x = 3,845.78

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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.