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Finding the Fourth Proportional to 3,429.57, 4,732.82 and 1,857.67

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Solution

The fourth proportional to 3,429.57, 4,732.82 and 1,857.67 is: 2,563.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,429.57 : 4,732.82 = 1,857.67 : x
  2. Step 2: Convert to fraction form
    3,429.57/4,732.82 = 1,857.67/x
  3. Step 3: Cross multiply
    3,429.57x = 4,732.82 × 1,857.67
  4. Step 4: Simplify right side
    3,429.57x = 8,792,017.73
  5. Step 5: Solve for x
    x = 8,792,017.73/3,429.57
  6. Step 6: Final answer
    x = 2,563.59

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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.