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Finding the Fourth Proportional to 3,277.74, 4,523.13 and 1,785.54

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Solution

The fourth proportional to 3,277.74, 4,523.13 and 1,785.54 is: 2,463.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.74 : 4,523.13 = 1,785.54 : x
  2. Step 2: Convert to fraction form
    3,277.74/4,523.13 = 1,785.54/x
  3. Step 3: Cross multiply
    3,277.74x = 4,523.13 × 1,785.54
  4. Step 4: Simplify right side
    3,277.74x = 8,076,229.54
  5. Step 5: Solve for x
    x = 8,076,229.54/3,277.74
  6. Step 6: Final answer
    x = 2,463.96

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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.