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Finding the Fourth Proportional to 4,716.69, 6,509.82 and 2,728.46

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Solution

The fourth proportional to 4,716.69, 6,509.82 and 2,728.46 is: 3,765.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.69 : 6,509.82 = 2,728.46 : x
  2. Step 2: Convert to fraction form
    4,716.69/6,509.82 = 2,728.46/x
  3. Step 3: Cross multiply
    4,716.69x = 6,509.82 × 2,728.46
  4. Step 4: Simplify right side
    4,716.69x = 17,761,750.93
  5. Step 5: Solve for x
    x = 17,761,750.93/4,716.69
  6. Step 6: Final answer
    x = 3,765.72

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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.