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Finding the Fourth Proportional to 4,716.66, 7,067.70 and 3,478.18

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Solution

The fourth proportional to 4,716.66, 7,067.70 and 3,478.18 is: 5,211.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,716.66 : 7,067.70 = 3,478.18 : x
  2. Step 2: Convert to fraction form
    4,716.66/7,067.70 = 3,478.18/x
  3. Step 3: Cross multiply
    4,716.66x = 7,067.70 × 3,478.18
  4. Step 4: Simplify right side
    4,716.66x = 24,582,732.79
  5. Step 5: Solve for x
    x = 24,582,732.79/4,716.66
  6. Step 6: Final answer
    x = 5,211.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.