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Finding the Fourth Proportional to 4,709.53, 6,499.34 and 2,693.27

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Solution

The fourth proportional to 4,709.53, 6,499.34 and 2,693.27 is: 3,716.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.53 : 6,499.34 = 2,693.27 : x
  2. Step 2: Convert to fraction form
    4,709.53/6,499.34 = 2,693.27/x
  3. Step 3: Cross multiply
    4,709.53x = 6,499.34 × 2,693.27
  4. Step 4: Simplify right side
    4,709.53x = 17,504,477.44
  5. Step 5: Solve for x
    x = 17,504,477.44/4,709.53
  6. Step 6: Final answer
    x = 3,716.82

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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.