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Finding the Fourth Proportional to 3,752.70, 5,639.98 and 1,806.27

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Solution

The fourth proportional to 3,752.70, 5,639.98 and 1,806.27 is: 2,714.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.70 : 5,639.98 = 1,806.27 : x
  2. Step 2: Convert to fraction form
    3,752.70/5,639.98 = 1,806.27/x
  3. Step 3: Cross multiply
    3,752.70x = 5,639.98 × 1,806.27
  4. Step 4: Simplify right side
    3,752.70x = 10,187,304.40
  5. Step 5: Solve for x
    x = 10,187,304.40/3,752.70
  6. Step 6: Final answer
    x = 2,714.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.