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Finding the Fourth Proportional to 3,695.73, 5,100.21 and 2,017.25

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Solution

The fourth proportional to 3,695.73, 5,100.21 and 2,017.25 is: 2,783.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.73 : 5,100.21 = 2,017.25 : x
  2. Step 2: Convert to fraction form
    3,695.73/5,100.21 = 2,017.25/x
  3. Step 3: Cross multiply
    3,695.73x = 5,100.21 × 2,017.25
  4. Step 4: Simplify right side
    3,695.73x = 10,288,373.12
  5. Step 5: Solve for x
    x = 10,288,373.12/3,695.73
  6. Step 6: Final answer
    x = 2,783.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.