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Finding the Fourth Proportional to 3,695.97, 5,097.11 and 2,369.42

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Solution

The fourth proportional to 3,695.97, 5,097.11 and 2,369.42 is: 3,267.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,695.97 : 5,097.11 = 2,369.42 : x
  2. Step 2: Convert to fraction form
    3,695.97/5,097.11 = 2,369.42/x
  3. Step 3: Cross multiply
    3,695.97x = 5,097.11 × 2,369.42
  4. Step 4: Simplify right side
    3,695.97x = 12,077,165.93
  5. Step 5: Solve for x
    x = 12,077,165.93/3,695.97
  6. Step 6: Final answer
    x = 3,267.66

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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.