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Finding the Fourth Proportional to 3,695.73, 5,100.11 and 2,017.16

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Solution

The fourth proportional to 3,695.73, 5,100.11 and 2,017.16 is: 2,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.73 : 5,100.11 = 2,017.16 : x
  2. Step 2: Convert to fraction form
    3,695.73/5,100.11 = 2,017.16/x
  3. Step 3: Cross multiply
    3,695.73x = 5,100.11 × 2,017.16
  4. Step 4: Simplify right side
    3,695.73x = 10,287,737.89
  5. Step 5: Solve for x
    x = 10,287,737.89/3,695.73
  6. Step 6: Final answer
    x = 2,783.68

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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.