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Finding the Fourth Proportional to 4,761.77, 7,137.45 and 1,638.81

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Solution

The fourth proportional to 4,761.77, 7,137.45 and 1,638.81 is: 2,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.77 : 7,137.45 = 1,638.81 : x
  2. Step 2: Convert to fraction form
    4,761.77/7,137.45 = 1,638.81/x
  3. Step 3: Cross multiply
    4,761.77x = 7,137.45 × 1,638.81
  4. Step 4: Simplify right side
    4,761.77x = 11,696,924.43
  5. Step 5: Solve for x
    x = 11,696,924.43/4,761.77
  6. Step 6: Final answer
    x = 2,456.43

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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.