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Finding the Fourth Proportional to 3,862.46, 5,797.34 and 1,783.60

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Solution

The fourth proportional to 3,862.46, 5,797.34 and 1,783.60 is: 2,677.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.46 : 5,797.34 = 1,783.60 : x
  2. Step 2: Convert to fraction form
    3,862.46/5,797.34 = 1,783.60/x
  3. Step 3: Cross multiply
    3,862.46x = 5,797.34 × 1,783.60
  4. Step 4: Simplify right side
    3,862.46x = 10,340,135.62
  5. Step 5: Solve for x
    x = 10,340,135.62/3,862.46
  6. Step 6: Final answer
    x = 2,677.09

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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.