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Finding the Fourth Proportional to 3,277.65, 4,523.23 and 1,785.64

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Solution

The fourth proportional to 3,277.65, 4,523.23 and 1,785.64 is: 2,464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.65 : 4,523.23 = 1,785.64 : x
  2. Step 2: Convert to fraction form
    3,277.65/4,523.23 = 1,785.64/x
  3. Step 3: Cross multiply
    3,277.65x = 4,523.23 × 1,785.64
  4. Step 4: Simplify right side
    3,277.65x = 8,076,844.65
  5. Step 5: Solve for x
    x = 8,076,844.65/3,277.65
  6. Step 6: Final answer
    x = 2,464.22

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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.