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Finding the Fourth Proportional to 3,716.64, 5,098.50 and 3,493.08

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Solution

The fourth proportional to 3,716.64, 5,098.50 and 3,493.08 is: 4,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.64 : 5,098.50 = 3,493.08 : x
  2. Step 2: Convert to fraction form
    3,716.64/5,098.50 = 3,493.08/x
  3. Step 3: Cross multiply
    3,716.64x = 5,098.50 × 3,493.08
  4. Step 4: Simplify right side
    3,716.64x = 17,809,468.38
  5. Step 5: Solve for x
    x = 17,809,468.38/3,716.64
  6. Step 6: Final answer
    x = 4,791.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.