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Finding the Fourth Proportional to 3,761.61, 5,638.46 and 1,809.69

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Solution

The fourth proportional to 3,761.61, 5,638.46 and 1,809.69 is: 2,712.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.61 : 5,638.46 = 1,809.69 : x
  2. Step 2: Convert to fraction form
    3,761.61/5,638.46 = 1,809.69/x
  3. Step 3: Cross multiply
    3,761.61x = 5,638.46 × 1,809.69
  4. Step 4: Simplify right side
    3,761.61x = 10,203,855.63
  5. Step 5: Solve for x
    x = 10,203,855.63/3,761.61
  6. Step 6: Final answer
    x = 2,712.63

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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.