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Finding the Fourth Proportional to 3,695.25, 5,546.64 and 1,847.70

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Solution

The fourth proportional to 3,695.25, 5,546.64 and 1,847.70 is: 2,773.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.25 : 5,546.64 = 1,847.70 : x
  2. Step 2: Convert to fraction form
    3,695.25/5,546.64 = 1,847.70/x
  3. Step 3: Cross multiply
    3,695.25x = 5,546.64 × 1,847.70
  4. Step 4: Simplify right side
    3,695.25x = 10,248,526.73
  5. Step 5: Solve for x
    x = 10,248,526.73/3,695.25
  6. Step 6: Final answer
    x = 2,773.43

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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.