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Finding the Fourth Proportional to 4,716.06, 6,509.76 and 2,727.42

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Solution

The fourth proportional to 4,716.06, 6,509.76 and 2,727.42 is: 3,764.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.06 : 6,509.76 = 2,727.42 : x
  2. Step 2: Convert to fraction form
    4,716.06/6,509.76 = 2,727.42/x
  3. Step 3: Cross multiply
    4,716.06x = 6,509.76 × 2,727.42
  4. Step 4: Simplify right side
    4,716.06x = 17,754,849.62
  5. Step 5: Solve for x
    x = 17,754,849.62/4,716.06
  6. Step 6: Final answer
    x = 3,764.76

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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.