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Finding the Fourth Proportional to 4,611.15, 6,917.82 and 1,324.17

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Solution

The fourth proportional to 4,611.15, 6,917.82 and 1,324.17 is: 1,986.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,611.15 : 6,917.82 = 1,324.17 : x
  2. Step 2: Convert to fraction form
    4,611.15/6,917.82 = 1,324.17/x
  3. Step 3: Cross multiply
    4,611.15x = 6,917.82 × 1,324.17
  4. Step 4: Simplify right side
    4,611.15x = 9,160,369.71
  5. Step 5: Solve for x
    x = 9,160,369.71/4,611.15
  6. Step 6: Final answer
    x = 1,986.57

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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.