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Finding the Fourth Proportional to 3,874.37, 5,808.28 and 1,681.44

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Solution

The fourth proportional to 3,874.37, 5,808.28 and 1,681.44 is: 2,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.37 : 5,808.28 = 1,681.44 : x
  2. Step 2: Convert to fraction form
    3,874.37/5,808.28 = 1,681.44/x
  3. Step 3: Cross multiply
    3,874.37x = 5,808.28 × 1,681.44
  4. Step 4: Simplify right side
    3,874.37x = 9,766,274.32
  5. Step 5: Solve for x
    x = 9,766,274.32/3,874.37
  6. Step 6: Final answer
    x = 2,520.74

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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.