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Finding the Fourth Proportional to 3,429.67, 4,732.97 and 1,857.77

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Solution

The fourth proportional to 3,429.67, 4,732.97 and 1,857.77 is: 2,563.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.67 : 4,732.97 = 1,857.77 : x
  2. Step 2: Convert to fraction form
    3,429.67/4,732.97 = 1,857.77/x
  3. Step 3: Cross multiply
    3,429.67x = 4,732.97 × 1,857.77
  4. Step 4: Simplify right side
    3,429.67x = 8,792,769.68
  5. Step 5: Solve for x
    x = 8,792,769.68/3,429.67
  6. Step 6: Final answer
    x = 2,563.74

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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.